What is the Least Common Multiple of 87651 and 87668?

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 87651 and 87668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87651 and 87668, than apply into the LCM equation.

GCF(87651,87668) = 1
LCM(87651,87668) = ( 87651 × 87668) / 1
LCM(87651,87668) = 7684187868 / 1
LCM(87651,87668) = 7684187868

Least Common Multiple (LCM) of 87651 and 87668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87651 and 87668. First we will calculate the prime factors of 87651 and 87668.

Prime Factorization of 87651

Prime Factorization of 87668

Now multiplying the highest exponent prime factors to calculate the LCM of 87651 and 87668.

LCM(87651,87668) = 3² × 9739¹ × 2² × 7¹ × 31¹ × 101¹
LCM(87651,87668) = 7684187868