What is the Least Common Multiple of 85967 and 85980?

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 85967 and 85980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85967 and 85980, than apply into the LCM equation.

GCF(85967,85980) = 1
LCM(85967,85980) = ( 85967 × 85980) / 1
LCM(85967,85980) = 7391442660 / 1
LCM(85967,85980) = 7391442660

Least Common Multiple (LCM) of 85967 and 85980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85967 and 85980. First we will calculate the prime factors of 85967 and 85980.

Prime Factorization of 85967

Prime Factorization of 85980

Now multiplying the highest exponent prime factors to calculate the LCM of 85967 and 85980.

LCM(85967,85980) = 7¹ × 12281¹ × 2² × 3¹ × 5¹ × 1433¹
LCM(85967,85980) = 7391442660