What is the Least Common Multiple of 87720 and 87738?

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 87720 and 87738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87720 and 87738, than apply into the LCM equation.

GCF(87720,87738) = 6
LCM(87720,87738) = ( 87720 × 87738) / 6
LCM(87720,87738) = 7696377360 / 6
LCM(87720,87738) = 1282729560

Least Common Multiple (LCM) of 87720 and 87738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87720 and 87738. First we will calculate the prime factors of 87720 and 87738.

Prime Factorization of 87720

Prime Factorization of 87738

Now multiplying the highest exponent prime factors to calculate the LCM of 87720 and 87738.

LCM(87720,87738) = 2³ × 3¹ × 5¹ × 17¹ × 43¹ × 7¹ × 2089¹
LCM(87720,87738) = 1282729560