What is the Least Common Multiple of 44680 and 44697?

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 44680 and 44697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44680 and 44697, than apply into the LCM equation.

GCF(44680,44697) = 1
LCM(44680,44697) = ( 44680 × 44697) / 1
LCM(44680,44697) = 1997061960 / 1
LCM(44680,44697) = 1997061960

Least Common Multiple (LCM) of 44680 and 44697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44680 and 44697. First we will calculate the prime factors of 44680 and 44697.

Prime Factorization of 44680

Prime Factorization of 44697

Now multiplying the highest exponent prime factors to calculate the LCM of 44680 and 44697.

LCM(44680,44697) = 2³ × 5¹ × 1117¹ × 3¹ × 47¹ × 317¹
LCM(44680,44697) = 1997061960