What is the Least Common Multiple of 44664 and 44680?

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 44664 and 44680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44664 and 44680, than apply into the LCM equation.

GCF(44664,44680) = 8
LCM(44664,44680) = ( 44664 × 44680) / 8
LCM(44664,44680) = 1995587520 / 8
LCM(44664,44680) = 249448440

Least Common Multiple (LCM) of 44664 and 44680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44664 and 44680. First we will calculate the prime factors of 44664 and 44680.

Prime Factorization of 44664

Prime Factorization of 44680

Now multiplying the highest exponent prime factors to calculate the LCM of 44664 and 44680.

LCM(44664,44680) = 2³ × 3¹ × 1861¹ × 5¹ × 1117¹
LCM(44664,44680) = 249448440