What is the Least Common Multiple of 91600 and 91617?

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 91600 and 91617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91600 and 91617, than apply into the LCM equation.

GCF(91600,91617) = 1
LCM(91600,91617) = ( 91600 × 91617) / 1
LCM(91600,91617) = 8392117200 / 1
LCM(91600,91617) = 8392117200

Least Common Multiple (LCM) of 91600 and 91617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91600 and 91617. First we will calculate the prime factors of 91600 and 91617.

Prime Factorization of 91600

Prime Factorization of 91617

Now multiplying the highest exponent prime factors to calculate the LCM of 91600 and 91617.

LCM(91600,91617) = 2⁴ × 5² × 229¹ × 3¹ × 30539¹
LCM(91600,91617) = 8392117200