What is the Least Common Multiple of 72138 and 72149?

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 72138 and 72149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72138 and 72149, than apply into the LCM equation.

GCF(72138,72149) = 11
LCM(72138,72149) = ( 72138 × 72149) / 11
LCM(72138,72149) = 5204684562 / 11
LCM(72138,72149) = 473153142

Least Common Multiple (LCM) of 72138 and 72149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72138 and 72149. First we will calculate the prime factors of 72138 and 72149.

Prime Factorization of 72138

Prime Factorization of 72149

Now multiplying the highest exponent prime factors to calculate the LCM of 72138 and 72149.

LCM(72138,72149) = 2¹ × 3¹ × 11¹ × 1093¹ × 7¹ × 937¹
LCM(72138,72149) = 473153142