What is the Least Common Multiple of 94140 and 94144?

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 94140 and 94144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94140 and 94144, than apply into the LCM equation.

GCF(94140,94144) = 4
LCM(94140,94144) = ( 94140 × 94144) / 4
LCM(94140,94144) = 8862716160 / 4
LCM(94140,94144) = 2215679040

Least Common Multiple (LCM) of 94140 and 94144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94140 and 94144. First we will calculate the prime factors of 94140 and 94144.

Prime Factorization of 94140

Prime Factorization of 94144

Now multiplying the highest exponent prime factors to calculate the LCM of 94140 and 94144.

LCM(94140,94144) = 2⁶ × 3² × 5¹ × 523¹ × 1471¹
LCM(94140,94144) = 2215679040