What is the Least Common Multiple of 91600 and 91620?

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 91620 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 91620, than apply into the LCM equation.

GCF(91600,91620) = 20
LCM(91600,91620) = ( 91600 × 91620) / 20
LCM(91600,91620) = 8392392000 / 20
LCM(91600,91620) = 419619600

Least Common Multiple (LCM) of 91600 and 91620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91600 and 91620. First we will calculate the prime factors of 91600 and 91620.

Prime Factorization of 91600

Prime Factorization of 91620

Now multiplying the highest exponent prime factors to calculate the LCM of 91600 and 91620.

LCM(91600,91620) = 2⁴ × 5² × 229¹ × 3² × 509¹
LCM(91600,91620) = 419619600