What is the Least Common Multiple of 42660 and 42665?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42660 and 42665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42660 and 42665, than apply into the LCM equation.

GCF(42660,42665) = 5
LCM(42660,42665) = ( 42660 × 42665) / 5
LCM(42660,42665) = 1820088900 / 5
LCM(42660,42665) = 364017780

Least Common Multiple (LCM) of 42660 and 42665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42660 and 42665. First we will calculate the prime factors of 42660 and 42665.

Prime Factorization of 42660

Prime Factorization of 42665

Now multiplying the highest exponent prime factors to calculate the LCM of 42660 and 42665.

LCM(42660,42665) = 2² × 3³ × 5¹ × 79¹ × 7¹ × 23¹ × 53¹
LCM(42660,42665) = 364017780