What is the Least Common Multiple of 94120 and 94140?

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 94120 and 94140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94120 and 94140, than apply into the LCM equation.

GCF(94120,94140) = 20
LCM(94120,94140) = ( 94120 × 94140) / 20
LCM(94120,94140) = 8860456800 / 20
LCM(94120,94140) = 443022840

Least Common Multiple (LCM) of 94120 and 94140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94120 and 94140. First we will calculate the prime factors of 94120 and 94140.

Prime Factorization of 94120

Prime Factorization of 94140

Now multiplying the highest exponent prime factors to calculate the LCM of 94120 and 94140.

LCM(94120,94140) = 2³ × 5¹ × 13¹ × 181¹ × 3² × 523¹
LCM(94120,94140) = 443022840