What is the Least Common Multiple of 91600 and 91614?

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 91614 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 91614, than apply into the LCM equation.

GCF(91600,91614) = 2
LCM(91600,91614) = ( 91600 × 91614) / 2
LCM(91600,91614) = 8391842400 / 2
LCM(91600,91614) = 4195921200

Least Common Multiple (LCM) of 91600 and 91614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91600 and 91614. First we will calculate the prime factors of 91600 and 91614.

Prime Factorization of 91600

Prime Factorization of 91614

Now multiplying the highest exponent prime factors to calculate the LCM of 91600 and 91614.

LCM(91600,91614) = 2⁴ × 5² × 229¹ × 3¹ × 15269¹
LCM(91600,91614) = 4195921200