What is the Least Common Multiple of 44424 and 44430?

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 44424 and 44430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44424 and 44430, than apply into the LCM equation.

GCF(44424,44430) = 6
LCM(44424,44430) = ( 44424 × 44430) / 6
LCM(44424,44430) = 1973758320 / 6
LCM(44424,44430) = 328959720

Least Common Multiple (LCM) of 44424 and 44430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44424 and 44430. First we will calculate the prime factors of 44424 and 44430.

Prime Factorization of 44424

Prime Factorization of 44430

Now multiplying the highest exponent prime factors to calculate the LCM of 44424 and 44430.

LCM(44424,44430) = 2³ × 3² × 617¹ × 5¹ × 1481¹
LCM(44424,44430) = 328959720