What is the Least Common Multiple of 91224 and 91238?

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 91224 and 91238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91224 and 91238, than apply into the LCM equation.

GCF(91224,91238) = 14
LCM(91224,91238) = ( 91224 × 91238) / 14
LCM(91224,91238) = 8323095312 / 14
LCM(91224,91238) = 594506808

Least Common Multiple (LCM) of 91224 and 91238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91224 and 91238. First we will calculate the prime factors of 91224 and 91238.

Prime Factorization of 91224

Prime Factorization of 91238

Now multiplying the highest exponent prime factors to calculate the LCM of 91224 and 91238.

LCM(91224,91238) = 2³ × 3² × 7⁴ × 181¹ × 19¹
LCM(91224,91238) = 594506808