What is the Least Common Multiple of 44680 and 44690?

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 44690 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 44690, than apply into the LCM equation.

GCF(44680,44690) = 10
LCM(44680,44690) = ( 44680 × 44690) / 10
LCM(44680,44690) = 1996749200 / 10
LCM(44680,44690) = 199674920

Least Common Multiple (LCM) of 44680 and 44690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44680 and 44690. First we will calculate the prime factors of 44680 and 44690.

Prime Factorization of 44680

Prime Factorization of 44690

Now multiplying the highest exponent prime factors to calculate the LCM of 44680 and 44690.

LCM(44680,44690) = 2³ × 5¹ × 1117¹ × 41¹ × 109¹
LCM(44680,44690) = 199674920