What is the Least Common Multiple of 91144 and 91156?

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 91144 and 91156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91144 and 91156, than apply into the LCM equation.

GCF(91144,91156) = 4
LCM(91144,91156) = ( 91144 × 91156) / 4
LCM(91144,91156) = 8308322464 / 4
LCM(91144,91156) = 2077080616

Least Common Multiple (LCM) of 91144 and 91156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91144 and 91156. First we will calculate the prime factors of 91144 and 91156.

Prime Factorization of 91144

Prime Factorization of 91156

Now multiplying the highest exponent prime factors to calculate the LCM of 91144 and 91156.

LCM(91144,91156) = 2³ × 11393¹ × 13¹ × 1753¹
LCM(91144,91156) = 2077080616