What is the Least Common Multiple of 44149 and 44156?

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 44149 and 44156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44149 and 44156, than apply into the LCM equation.

GCF(44149,44156) = 7
LCM(44149,44156) = ( 44149 × 44156) / 7
LCM(44149,44156) = 1949443244 / 7
LCM(44149,44156) = 278491892

Least Common Multiple (LCM) of 44149 and 44156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44149 and 44156. First we will calculate the prime factors of 44149 and 44156.

Prime Factorization of 44149

Prime Factorization of 44156

Now multiplying the highest exponent prime factors to calculate the LCM of 44149 and 44156.

LCM(44149,44156) = 7² × 17¹ × 53¹ × 2² × 19¹ × 83¹
LCM(44149,44156) = 278491892