What is the Least Common Multiple of 89606 and 89617?

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 89606 and 89617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89606 and 89617, than apply into the LCM equation.

GCF(89606,89617) = 11
LCM(89606,89617) = ( 89606 × 89617) / 11
LCM(89606,89617) = 8030220902 / 11
LCM(89606,89617) = 730020082

Least Common Multiple (LCM) of 89606 and 89617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89606 and 89617. First we will calculate the prime factors of 89606 and 89617.

Prime Factorization of 89606

Prime Factorization of 89617

Now multiplying the highest exponent prime factors to calculate the LCM of 89606 and 89617.

LCM(89606,89617) = 2¹ × 11¹ × 4073¹ × 8147¹
LCM(89606,89617) = 730020082