What is the Least Common Multiple of 85647 and 85663?

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 85647 and 85663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85647 and 85663, than apply into the LCM equation.

GCF(85647,85663) = 1
LCM(85647,85663) = ( 85647 × 85663) / 1
LCM(85647,85663) = 7336778961 / 1
LCM(85647,85663) = 7336778961

Least Common Multiple (LCM) of 85647 and 85663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85647 and 85663. First we will calculate the prime factors of 85647 and 85663.

Prime Factorization of 85647

Prime Factorization of 85663

Now multiplying the highest exponent prime factors to calculate the LCM of 85647 and 85663.

LCM(85647,85663) = 3¹ × 28549¹ × 17¹ × 5039¹
LCM(85647,85663) = 7336778961