What is the Least Common Multiple of 91900 and 91912?

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 91900 and 91912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91900 and 91912, than apply into the LCM equation.

GCF(91900,91912) = 4
LCM(91900,91912) = ( 91900 × 91912) / 4
LCM(91900,91912) = 8446712800 / 4
LCM(91900,91912) = 2111678200

Least Common Multiple (LCM) of 91900 and 91912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91900 and 91912. First we will calculate the prime factors of 91900 and 91912.

Prime Factorization of 91900

Prime Factorization of 91912

Now multiplying the highest exponent prime factors to calculate the LCM of 91900 and 91912.

LCM(91900,91912) = 2³ × 5² × 919¹ × 11489¹
LCM(91900,91912) = 2111678200