What is the Least Common Multiple of 87458 and 87472?

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 87458 and 87472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87458 and 87472, than apply into the LCM equation.

GCF(87458,87472) = 14
LCM(87458,87472) = ( 87458 × 87472) / 14
LCM(87458,87472) = 7650126176 / 14
LCM(87458,87472) = 546437584

Least Common Multiple (LCM) of 87458 and 87472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87458 and 87472. First we will calculate the prime factors of 87458 and 87472.

Prime Factorization of 87458

Prime Factorization of 87472

Now multiplying the highest exponent prime factors to calculate the LCM of 87458 and 87472.

LCM(87458,87472) = 2⁴ × 7¹ × 6247¹ × 11¹ × 71¹
LCM(87458,87472) = 546437584