What is the Least Common Multiple of 44760 and 44767?

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 44760 and 44767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44760 and 44767, than apply into the LCM equation.

GCF(44760,44767) = 1
LCM(44760,44767) = ( 44760 × 44767) / 1
LCM(44760,44767) = 2003770920 / 1
LCM(44760,44767) = 2003770920

Least Common Multiple (LCM) of 44760 and 44767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44760 and 44767. First we will calculate the prime factors of 44760 and 44767.

Prime Factorization of 44760

Prime Factorization of 44767

Now multiplying the highest exponent prime factors to calculate the LCM of 44760 and 44767.

LCM(44760,44767) = 2³ × 3¹ × 5¹ × 373¹ × 89¹ × 503¹
LCM(44760,44767) = 2003770920