What is the Least Common Multiple of 44602 and 44613?

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 44602 and 44613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44602 and 44613, than apply into the LCM equation.

GCF(44602,44613) = 1
LCM(44602,44613) = ( 44602 × 44613) / 1
LCM(44602,44613) = 1989829026 / 1
LCM(44602,44613) = 1989829026

Least Common Multiple (LCM) of 44602 and 44613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44602 and 44613. First we will calculate the prime factors of 44602 and 44613.

Prime Factorization of 44602

Prime Factorization of 44613

Now multiplying the highest exponent prime factors to calculate the LCM of 44602 and 44613.

LCM(44602,44613) = 2¹ × 29¹ × 769¹ × 3² × 4957¹
LCM(44602,44613) = 1989829026