What is the Least Common Multiple of 70128 and 70137?

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 70128 and 70137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70128 and 70137, than apply into the LCM equation.

GCF(70128,70137) = 9
LCM(70128,70137) = ( 70128 × 70137) / 9
LCM(70128,70137) = 4918567536 / 9
LCM(70128,70137) = 546507504

Least Common Multiple (LCM) of 70128 and 70137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70128 and 70137. First we will calculate the prime factors of 70128 and 70137.

Prime Factorization of 70128

Prime Factorization of 70137

Now multiplying the highest exponent prime factors to calculate the LCM of 70128 and 70137.

LCM(70128,70137) = 2⁴ × 3² × 487¹ × 7793¹
LCM(70128,70137) = 546507504