What is the Least Common Multiple of 13114 and 13132?

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 13114 and 13132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13114 and 13132, than apply into the LCM equation.

GCF(13114,13132) = 2
LCM(13114,13132) = ( 13114 × 13132) / 2
LCM(13114,13132) = 172213048 / 2
LCM(13114,13132) = 86106524

Least Common Multiple (LCM) of 13114 and 13132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13114 and 13132. First we will calculate the prime factors of 13114 and 13132.

Prime Factorization of 13114

Prime Factorization of 13132

Now multiplying the highest exponent prime factors to calculate the LCM of 13114 and 13132.

LCM(13114,13132) = 2² × 79¹ × 83¹ × 7² × 67¹
LCM(13114,13132) = 86106524