What is the Least Common Multiple of 44464 and 44475?

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 44464 and 44475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44464 and 44475, than apply into the LCM equation.

GCF(44464,44475) = 1
LCM(44464,44475) = ( 44464 × 44475) / 1
LCM(44464,44475) = 1977536400 / 1
LCM(44464,44475) = 1977536400

Least Common Multiple (LCM) of 44464 and 44475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44464 and 44475. First we will calculate the prime factors of 44464 and 44475.

Prime Factorization of 44464

Prime Factorization of 44475

Now multiplying the highest exponent prime factors to calculate the LCM of 44464 and 44475.

LCM(44464,44475) = 2⁴ × 7¹ × 397¹ × 3¹ × 5² × 593¹
LCM(44464,44475) = 1977536400