What is the Least Common Multiple of 44189 and 44196?

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 44189 and 44196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44189 and 44196, than apply into the LCM equation.

GCF(44189,44196) = 1
LCM(44189,44196) = ( 44189 × 44196) / 1
LCM(44189,44196) = 1952977044 / 1
LCM(44189,44196) = 1952977044

Least Common Multiple (LCM) of 44189 and 44196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44189 and 44196. First we will calculate the prime factors of 44189 and 44196.

Prime Factorization of 44189

Prime Factorization of 44196

Now multiplying the highest exponent prime factors to calculate the LCM of 44189 and 44196.

LCM(44189,44196) = 44189¹ × 2² × 3¹ × 29¹ × 127¹
LCM(44189,44196) = 1952977044