What is the LCM of 84 and 126?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 84 and 126?

Answer: LCM of 84 and 126 is 252

(Two hundred fifty-two)

Finding LCM for 84 and 126 using GCF's of these numbers

The first method to find LCM for numbers 84 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 126 is 42, so

LCM = (84 × 126) ÷ 42

LCM = 10584 ÷ 42

LCM = 252

Finding LCM for 84 and 126 by Listing Multiples

The second method to find LCM for numbers 84 and 126 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 84: 84, 168, 252, 336, 420

Multiples of 126: 126, 252, 378, 504

So the LCM for 84 and 126 is 252

Finding LCM for 84 and 126 by Prime Factorization

Another method to find LCM for numbers 84 and 126 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 2², 3¹, 7¹)

All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 2¹, 3², 7¹)

2² × 3² × 7¹ = 252

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What is the GCF of 84 and 126

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 84 and 126? (The answer is: 252). Select the first number (e.g. '84') and the second number (e.g. '126'). 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

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
69	126	2898
70	126	630
71	126	8946
72	126	504
73	126	9198
74	126	4662
75	126	3150
76	126	4788
77	126	1386
78	126	1638
79	126	9954
80	126	5040
81	126	1134
82	126	5166
83	126	10458
84	126	252
85	126	10710
86	126	5418
87	126	3654
88	126	5544
89	126	11214
90	126	630
91	126	1638
92	126	5796
93	126	3906
94	126	5922
95	126	11970
96	126	2016
97	126	12222
98	126	882

LCM for 84 and 126

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 84 and 126?

Finding LCM for 84 and 126 using GCF's of these numbers

Finding LCM for 84 and 126 by Listing Multiples

Finding LCM for 84 and 126 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 84 and 126?

See Also