What is the Least Common Multiple of 44140 and 44160?

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 44140 and 44160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44140 and 44160, than apply into the LCM equation.

GCF(44140,44160) = 20
LCM(44140,44160) = ( 44140 × 44160) / 20
LCM(44140,44160) = 1949222400 / 20
LCM(44140,44160) = 97461120

Least Common Multiple (LCM) of 44140 and 44160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44140 and 44160. First we will calculate the prime factors of 44140 and 44160.

Prime Factorization of 44140

Prime Factorization of 44160

Now multiplying the highest exponent prime factors to calculate the LCM of 44140 and 44160.

LCM(44140,44160) = 2⁷ × 5¹ × 2207¹ × 3¹ × 23¹
LCM(44140,44160) = 97461120