What is the Least Common Multiple of 94740 and 94751?

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 94740 and 94751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94740 and 94751, than apply into the LCM equation.

GCF(94740,94751) = 1
LCM(94740,94751) = ( 94740 × 94751) / 1
LCM(94740,94751) = 8976709740 / 1
LCM(94740,94751) = 8976709740

Least Common Multiple (LCM) of 94740 and 94751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94740 and 94751. First we will calculate the prime factors of 94740 and 94751.

Prime Factorization of 94740

Prime Factorization of 94751

Now multiplying the highest exponent prime factors to calculate the LCM of 94740 and 94751.

LCM(94740,94751) = 2² × 3¹ × 5¹ × 1579¹ × 41¹ × 2311¹
LCM(94740,94751) = 8976709740