What is the Least Common Multiple of 44940 and 44958?

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 44940 and 44958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44940 and 44958, than apply into the LCM equation.

GCF(44940,44958) = 6
LCM(44940,44958) = ( 44940 × 44958) / 6
LCM(44940,44958) = 2020412520 / 6
LCM(44940,44958) = 336735420

Least Common Multiple (LCM) of 44940 and 44958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44940 and 44958. First we will calculate the prime factors of 44940 and 44958.

Prime Factorization of 44940

Prime Factorization of 44958

Now multiplying the highest exponent prime factors to calculate the LCM of 44940 and 44958.

LCM(44940,44958) = 2² × 3¹ × 5¹ × 7¹ × 107¹ × 59¹ × 127¹
LCM(44940,44958) = 336735420