What is the Least Common Multiple of 70152 and 70156?

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 70152 and 70156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70152 and 70156, than apply into the LCM equation.

GCF(70152,70156) = 4
LCM(70152,70156) = ( 70152 × 70156) / 4
LCM(70152,70156) = 4921583712 / 4
LCM(70152,70156) = 1230395928

Least Common Multiple (LCM) of 70152 and 70156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70152 and 70156. First we will calculate the prime factors of 70152 and 70156.

Prime Factorization of 70152

Prime Factorization of 70156

Now multiplying the highest exponent prime factors to calculate the LCM of 70152 and 70156.

LCM(70152,70156) = 2³ × 3¹ × 37¹ × 79¹ × 17539¹
LCM(70152,70156) = 1230395928