What is the Least Common Multiple of 91896 and 91900?

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 91896 and 91900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91896 and 91900, than apply into the LCM equation.

GCF(91896,91900) = 4
LCM(91896,91900) = ( 91896 × 91900) / 4
LCM(91896,91900) = 8445242400 / 4
LCM(91896,91900) = 2111310600

Least Common Multiple (LCM) of 91896 and 91900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91896 and 91900. First we will calculate the prime factors of 91896 and 91900.

Prime Factorization of 91896

Prime Factorization of 91900

Now multiplying the highest exponent prime factors to calculate the LCM of 91896 and 91900.

LCM(91896,91900) = 2³ × 3¹ × 7¹ × 547¹ × 5² × 919¹
LCM(91896,91900) = 2111310600