What is the Least Common Multiple of 45136 and 45149?

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 45136 and 45149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45136 and 45149, than apply into the LCM equation.

GCF(45136,45149) = 13
LCM(45136,45149) = ( 45136 × 45149) / 13
LCM(45136,45149) = 2037845264 / 13
LCM(45136,45149) = 156757328

Least Common Multiple (LCM) of 45136 and 45149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45136 and 45149. First we will calculate the prime factors of 45136 and 45149.

Prime Factorization of 45136

Prime Factorization of 45149

Now multiplying the highest exponent prime factors to calculate the LCM of 45136 and 45149.

LCM(45136,45149) = 2⁴ × 7¹ × 13¹ × 31¹ × 23¹ × 151¹
LCM(45136,45149) = 156757328