What is the LCM of 70 and 150?

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What's the Least Common Multiple (LCM) of 70 and 150?

Answer: LCM of 70 and 150 is 1,050

(One thousand, fifty)

Finding LCM for 70 and 150 using GCF's of these numbers

The first method to find LCM for numbers 70 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 150 is 10, so

LCM = (70 × 150) ÷ 10

LCM = 10500 ÷ 10

LCM = 1050

Finding LCM for 70 and 150 by Listing Multiples

The second method to find LCM for numbers 70 and 150 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190

Multiples of 150: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350

So the LCM for 70 and 150 is 1050

Finding LCM for 70 and 150 by Prime Factorization

Another method to find LCM for numbers 70 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 2¹, 5¹, 7¹)

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 2¹, 3¹, 5²)

2¹ × 5² × 7¹ × 3¹ = 1050

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 70 and 150? (The answer is: 1050). Select the first number (e.g. '70') and the second number (e.g. '150'). After that hit the 'Calculate' button.

Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

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LCM Table

Number 1	Number 2	LCM
55	150	1650
56	150	4200
57	150	2850
58	150	4350
59	150	8850
60	150	300
61	150	9150
62	150	4650
63	150	3150
64	150	4800
65	150	1950
66	150	1650
67	150	10050
68	150	5100
69	150	3450
70	150	1050
71	150	10650
72	150	1800
73	150	10950
74	150	5550
75	150	150
76	150	5700
77	150	11550
78	150	1950
79	150	11850
80	150	1200
81	150	4050
82	150	6150
83	150	12450
84	150	2100

LCM for 70 and 150

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 70 and 150?

Finding LCM for 70 and 150 using GCF's of these numbers

Finding LCM for 70 and 150 by Listing Multiples

Finding LCM for 70 and 150 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 70 and 150?

See Also