What is the Least Common Multiple of 94140 and 94160?

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 94160 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 94160, than apply into the LCM equation.

GCF(94140,94160) = 20
LCM(94140,94160) = ( 94140 × 94160) / 20
LCM(94140,94160) = 8864222400 / 20
LCM(94140,94160) = 443211120

Least Common Multiple (LCM) of 94140 and 94160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94140 and 94160. First we will calculate the prime factors of 94140 and 94160.

Prime Factorization of 94140

Prime Factorization of 94160

Now multiplying the highest exponent prime factors to calculate the LCM of 94140 and 94160.

LCM(94140,94160) = 2⁴ × 3² × 5¹ × 523¹ × 11¹ × 107¹
LCM(94140,94160) = 443211120