What is the Least Common Multiple of 87941 and 87955?

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 87941 and 87955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87941 and 87955, than apply into the LCM equation.

GCF(87941,87955) = 7
LCM(87941,87955) = ( 87941 × 87955) / 7
LCM(87941,87955) = 7734850655 / 7
LCM(87941,87955) = 1104978665

Least Common Multiple (LCM) of 87941 and 87955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87941 and 87955. First we will calculate the prime factors of 87941 and 87955.

Prime Factorization of 87941

Prime Factorization of 87955

Now multiplying the highest exponent prime factors to calculate the LCM of 87941 and 87955.

LCM(87941,87955) = 7² × 17¹ × 739¹ × 5¹ × 359¹
LCM(87941,87955) = 1104978665