What is the Least Common Multiple of 85940 and 85955?

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 85940 and 85955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85940 and 85955, than apply into the LCM equation.

GCF(85940,85955) = 5
LCM(85940,85955) = ( 85940 × 85955) / 5
LCM(85940,85955) = 7386972700 / 5
LCM(85940,85955) = 1477394540

Least Common Multiple (LCM) of 85940 and 85955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85940 and 85955. First we will calculate the prime factors of 85940 and 85955.

Prime Factorization of 85940

Prime Factorization of 85955

Now multiplying the highest exponent prime factors to calculate the LCM of 85940 and 85955.

LCM(85940,85955) = 2² × 5¹ × 4297¹ × 17191¹
LCM(85940,85955) = 1477394540