What is the Least Common Multiple of 87964 and 87976?

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 87964 and 87976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87964 and 87976, than apply into the LCM equation.

GCF(87964,87976) = 4
LCM(87964,87976) = ( 87964 × 87976) / 4
LCM(87964,87976) = 7738720864 / 4
LCM(87964,87976) = 1934680216

Least Common Multiple (LCM) of 87964 and 87976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87964 and 87976. First we will calculate the prime factors of 87964 and 87976.

Prime Factorization of 87964

Prime Factorization of 87976

Now multiplying the highest exponent prime factors to calculate the LCM of 87964 and 87976.

LCM(87964,87976) = 2³ × 21991¹ × 7¹ × 1571¹
LCM(87964,87976) = 1934680216