What is the Least Common Multiple of 87438 and 87451?

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 87438 and 87451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87438 and 87451, than apply into the LCM equation.

GCF(87438,87451) = 13
LCM(87438,87451) = ( 87438 × 87451) / 13
LCM(87438,87451) = 7646540538 / 13
LCM(87438,87451) = 588195426

Least Common Multiple (LCM) of 87438 and 87451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87438 and 87451. First we will calculate the prime factors of 87438 and 87451.

Prime Factorization of 87438

Prime Factorization of 87451

Now multiplying the highest exponent prime factors to calculate the LCM of 87438 and 87451.

LCM(87438,87451) = 2¹ × 3¹ × 13¹ × 19¹ × 59¹ × 7¹ × 31²
LCM(87438,87451) = 588195426