What is the Least Common Multiple of 94075 and 94090?

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 94075 and 94090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94075 and 94090, than apply into the LCM equation.

GCF(94075,94090) = 5
LCM(94075,94090) = ( 94075 × 94090) / 5
LCM(94075,94090) = 8851516750 / 5
LCM(94075,94090) = 1770303350

Least Common Multiple (LCM) of 94075 and 94090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94075 and 94090. First we will calculate the prime factors of 94075 and 94090.

Prime Factorization of 94075

Prime Factorization of 94090

Now multiplying the highest exponent prime factors to calculate the LCM of 94075 and 94090.

LCM(94075,94090) = 5² × 53¹ × 71¹ × 2¹ × 97²
LCM(94075,94090) = 1770303350