What is the Least Common Multiple of 70638 and 70656?

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 70638 and 70656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70638 and 70656, than apply into the LCM equation.

GCF(70638,70656) = 6
LCM(70638,70656) = ( 70638 × 70656) / 6
LCM(70638,70656) = 4990998528 / 6
LCM(70638,70656) = 831833088

Least Common Multiple (LCM) of 70638 and 70656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70638 and 70656. First we will calculate the prime factors of 70638 and 70656.

Prime Factorization of 70638

Prime Factorization of 70656

Now multiplying the highest exponent prime factors to calculate the LCM of 70638 and 70656.

LCM(70638,70656) = 2¹⁰ × 3¹ × 61¹ × 193¹ × 23¹
LCM(70638,70656) = 831833088