LCM for 100 and 150
What's the Least Common Multiple (LCM) of 100 and 150?
Answer
(Three hundred)
Finding LCM for 100 and 150 using GCF of these numbers
The first method to find LCM for numbers 100 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 100 and 150 is 50, so
LCM = (100 × 150) ÷ 50
LCM = 15000 ÷ 50
LCM = 300
Finding LCM for 100 and 150 by Listing Multiples
The second method to find LCM for numbers 100 and 150 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 100: 100, 200, 300, 400, 500
Multiples of 150: 150, 300, 450, 600
So the LCM for 100 and 150 is 300
Finding LCM for 100 and 150 by Prime Factorization
Another method to find LCM for numbers 100 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)
22 × 52 × 31 = 300
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/100--150">What is the LCM of 100 and 150? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 85 | 150 | 2550 |
| 86 | 150 | 6450 |
| 87 | 150 | 4350 |
| 88 | 150 | 6600 |
| 89 | 150 | 13350 |
| 90 | 150 | 450 |
| 91 | 150 | 13650 |
| 92 | 150 | 6900 |
| 93 | 150 | 4650 |
| 94 | 150 | 7050 |
| 95 | 150 | 2850 |
| 96 | 150 | 2400 |
| 97 | 150 | 14550 |
| 98 | 150 | 7350 |
| 99 | 150 | 4950 |
| 100 | 150 | 300 |
| 101 | 150 | 15150 |
| 102 | 150 | 2550 |
| 103 | 150 | 15450 |
| 104 | 150 | 7800 |
| 105 | 150 | 1050 |
| 106 | 150 | 7950 |
| 107 | 150 | 16050 |
| 108 | 150 | 2700 |
| 109 | 150 | 16350 |
| 110 | 150 | 1650 |
| 111 | 150 | 5550 |
| 112 | 150 | 8400 |
| 113 | 150 | 16950 |
| 114 | 150 | 2850 |
About "Least Common Multiple" Calculator
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