What is the Least Common Multiple of 87648 and 87660?

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 87648 and 87660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87648 and 87660, than apply into the LCM equation.

GCF(87648,87660) = 12
LCM(87648,87660) = ( 87648 × 87660) / 12
LCM(87648,87660) = 7683223680 / 12
LCM(87648,87660) = 640268640

Least Common Multiple (LCM) of 87648 and 87660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87648 and 87660. First we will calculate the prime factors of 87648 and 87660.

Prime Factorization of 87648

Prime Factorization of 87660

Now multiplying the highest exponent prime factors to calculate the LCM of 87648 and 87660.

LCM(87648,87660) = 2⁵ × 3² × 11¹ × 83¹ × 5¹ × 487¹
LCM(87648,87660) = 640268640