LCM for 60 and 210
What's the Least Common Multiple (LCM) of 60 and 210?
(Four hundred twenty)
Finding LCM for 60 and 210 using GCF's of these numbers
The first method to find LCM for numbers 60 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 210 is 30, so
LCM = (60 × 210) ÷ 30
LCM = 12600 ÷ 30
LCM = 420
Finding LCM for 60 and 210 by Listing Multiples
The second method to find LCM for numbers 60 and 210 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540
Multiples of 210: 210, 420, 630, 840
So the LCM for 60 and 210 is 420
Finding LCM for 60 and 210 by Prime Factorization
Another method to find LCM for numbers 60 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)
22 × 31 × 51 × 71 = 420
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/60--210">What is the LCM of 60 and 210? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 45 | 210 | 630 |
| 46 | 210 | 4830 |
| 47 | 210 | 9870 |
| 48 | 210 | 1680 |
| 49 | 210 | 1470 |
| 50 | 210 | 1050 |
| 51 | 210 | 3570 |
| 52 | 210 | 5460 |
| 53 | 210 | 11130 |
| 54 | 210 | 1890 |
| 55 | 210 | 2310 |
| 56 | 210 | 840 |
| 57 | 210 | 3990 |
| 58 | 210 | 6090 |
| 59 | 210 | 12390 |
| 60 | 210 | 420 |
| 61 | 210 | 12810 |
| 62 | 210 | 6510 |
| 63 | 210 | 630 |
| 64 | 210 | 6720 |
| 65 | 210 | 2730 |
| 66 | 210 | 2310 |
| 67 | 210 | 14070 |
| 68 | 210 | 7140 |
| 69 | 210 | 4830 |
| 70 | 210 | 210 |
| 71 | 210 | 14910 |
| 72 | 210 | 2520 |
| 73 | 210 | 15330 |
| 74 | 210 | 7770 |
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