What is the Least Common Multiple of 87756 and 87768?

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 87756 and 87768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87756 and 87768, than apply into the LCM equation.

GCF(87756,87768) = 12
LCM(87756,87768) = ( 87756 × 87768) / 12
LCM(87756,87768) = 7702168608 / 12
LCM(87756,87768) = 641847384

Least Common Multiple (LCM) of 87756 and 87768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87756 and 87768. First we will calculate the prime factors of 87756 and 87768.

Prime Factorization of 87756

Prime Factorization of 87768

Now multiplying the highest exponent prime factors to calculate the LCM of 87756 and 87768.

LCM(87756,87768) = 2³ × 3² × 71¹ × 103¹ × 23¹ × 53¹
LCM(87756,87768) = 641847384