What is the Least Common Multiple of 91284 and 91292?

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 91284 and 91292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91284 and 91292, than apply into the LCM equation.

GCF(91284,91292) = 4
LCM(91284,91292) = ( 91284 × 91292) / 4
LCM(91284,91292) = 8333498928 / 4
LCM(91284,91292) = 2083374732

Least Common Multiple (LCM) of 91284 and 91292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91284 and 91292. First we will calculate the prime factors of 91284 and 91292.

Prime Factorization of 91284

Prime Factorization of 91292

Now multiplying the highest exponent prime factors to calculate the LCM of 91284 and 91292.

LCM(91284,91292) = 2² × 3¹ × 7607¹ × 29¹ × 787¹
LCM(91284,91292) = 2083374732