What is the Least Common Multiple of 87745 and 87756?

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 87745 and 87756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87745 and 87756, than apply into the LCM equation.

GCF(87745,87756) = 1
LCM(87745,87756) = ( 87745 × 87756) / 1
LCM(87745,87756) = 7700150220 / 1
LCM(87745,87756) = 7700150220

Least Common Multiple (LCM) of 87745 and 87756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87745 and 87756. First we will calculate the prime factors of 87745 and 87756.

Prime Factorization of 87745

Prime Factorization of 87756

Now multiplying the highest exponent prime factors to calculate the LCM of 87745 and 87756.

LCM(87745,87756) = 5¹ × 7¹ × 23¹ × 109¹ × 2² × 3¹ × 71¹ × 103¹
LCM(87745,87756) = 7700150220