What is the Least Common Multiple of 91596 and 91600?

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 91596 and 91600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91596 and 91600, than apply into the LCM equation.

GCF(91596,91600) = 4
LCM(91596,91600) = ( 91596 × 91600) / 4
LCM(91596,91600) = 8390193600 / 4
LCM(91596,91600) = 2097548400

Least Common Multiple (LCM) of 91596 and 91600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91596 and 91600. First we will calculate the prime factors of 91596 and 91600.

Prime Factorization of 91596

Prime Factorization of 91600

Now multiplying the highest exponent prime factors to calculate the LCM of 91596 and 91600.

LCM(91596,91600) = 2⁴ × 3¹ × 17¹ × 449¹ × 5² × 229¹
LCM(91596,91600) = 2097548400