What is the Least Common Multiple of 87348 and 87352?

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 87348 and 87352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87348 and 87352, than apply into the LCM equation.

GCF(87348,87352) = 4
LCM(87348,87352) = ( 87348 × 87352) / 4
LCM(87348,87352) = 7630022496 / 4
LCM(87348,87352) = 1907505624

Least Common Multiple (LCM) of 87348 and 87352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87348 and 87352. First we will calculate the prime factors of 87348 and 87352.

Prime Factorization of 87348

Prime Factorization of 87352

Now multiplying the highest exponent prime factors to calculate the LCM of 87348 and 87352.

LCM(87348,87352) = 2³ × 3¹ × 29¹ × 251¹ × 61¹ × 179¹
LCM(87348,87352) = 1907505624