What is the Least Common Multiple of 87958 and 87977?

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 87958 and 87977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87958 and 87977, than apply into the LCM equation.

GCF(87958,87977) = 1
LCM(87958,87977) = ( 87958 × 87977) / 1
LCM(87958,87977) = 7738280966 / 1
LCM(87958,87977) = 7738280966

Least Common Multiple (LCM) of 87958 and 87977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87958 and 87977. First we will calculate the prime factors of 87958 and 87977.

Prime Factorization of 87958

Prime Factorization of 87977

Now multiplying the highest exponent prime factors to calculate the LCM of 87958 and 87977.

LCM(87958,87977) = 2¹ × 13¹ × 17¹ × 199¹ × 87977¹
LCM(87958,87977) = 7738280966