What is the Least Common Multiple of 94090 and 94095?

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 94090 and 94095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94090 and 94095, than apply into the LCM equation.

GCF(94090,94095) = 5
LCM(94090,94095) = ( 94090 × 94095) / 5
LCM(94090,94095) = 8853398550 / 5
LCM(94090,94095) = 1770679710

Least Common Multiple (LCM) of 94090 and 94095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94090 and 94095. First we will calculate the prime factors of 94090 and 94095.

Prime Factorization of 94090

Prime Factorization of 94095

Now multiplying the highest exponent prime factors to calculate the LCM of 94090 and 94095.

LCM(94090,94095) = 2¹ × 5¹ × 97² × 3³ × 17¹ × 41¹
LCM(94090,94095) = 1770679710