What is the Least Common Multiple of 87468 and 87474?

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 87468 and 87474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87468 and 87474, than apply into the LCM equation.

GCF(87468,87474) = 6
LCM(87468,87474) = ( 87468 × 87474) / 6
LCM(87468,87474) = 7651175832 / 6
LCM(87468,87474) = 1275195972

Least Common Multiple (LCM) of 87468 and 87474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87468 and 87474. First we will calculate the prime factors of 87468 and 87474.

Prime Factorization of 87468

Prime Factorization of 87474

Now multiplying the highest exponent prime factors to calculate the LCM of 87468 and 87474.

LCM(87468,87474) = 2² × 3¹ × 37¹ × 197¹ × 61¹ × 239¹
LCM(87468,87474) = 1275195972