What is the Least Common Multiple of 70656 and 70665?

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 70656 and 70665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70656 and 70665, than apply into the LCM equation.

GCF(70656,70665) = 3
LCM(70656,70665) = ( 70656 × 70665) / 3
LCM(70656,70665) = 4992906240 / 3
LCM(70656,70665) = 1664302080

Least Common Multiple (LCM) of 70656 and 70665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70656 and 70665. First we will calculate the prime factors of 70656 and 70665.

Prime Factorization of 70656

Prime Factorization of 70665

Now multiplying the highest exponent prime factors to calculate the LCM of 70656 and 70665.

LCM(70656,70665) = 2¹⁰ × 3¹ × 23¹ × 5¹ × 7¹ × 673¹
LCM(70656,70665) = 1664302080