LCM for 66 and 70
What's the Least Common Multiple (LCM) of 66 and 70?
(Two thousand, three hundred ten)
Finding LCM for 66 and 70 using GCF's of these numbers
The first method to find LCM for numbers 66 and 70 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 66 and 70 is 2, so
LCM = (66 × 70) ÷ 2
LCM = 4620 ÷ 2
LCM = 2310
Finding LCM for 66 and 70 by Listing Multiples
The second method to find LCM for numbers 66 and 70 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1056, 1122, 1188, 1254, 1320, 1386, 1452, 1518, 1584, 1650, 1716, 1782, 1848, 1914, 1980, 2046, 2112, 2178, 2244, 2310, 2376, 2442
Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310, 2380, 2450
So the LCM for 66 and 70 is 2310
Finding LCM for 66 and 70 by Prime Factorization
Another method to find LCM for numbers 66 and 70 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 66: 2, 3, 11 (exponent form: 21, 31, 111)
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
21 × 31 × 111 × 51 × 71 = 2310
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/66--70">What is the LCM of 66 and 70? - Calculatio</a>
LCM Table
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