What is the Least Common Multiple of 87940 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 87940 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 87940 and 87955, than apply into the LCM equation.

GCF(87940,87955) = 5
LCM(87940,87955) = ( 87940 × 87955) / 5
LCM(87940,87955) = 7734762700 / 5
LCM(87940,87955) = 1546952540

Least Common Multiple (LCM) of 87940 and 87955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87940 and 87955. First we will calculate the prime factors of 87940 and 87955.

Prime Factorization of 87940

Prime Factorization of 87955

Now multiplying the highest exponent prime factors to calculate the LCM of 87940 and 87955.

LCM(87940,87955) = 2² × 5¹ × 4397¹ × 7² × 359¹
LCM(87940,87955) = 1546952540