What is the Least Common Multiple of 57974 and 57994?

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 57974 and 57994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57974 and 57994, than apply into the LCM equation.

GCF(57974,57994) = 2
LCM(57974,57994) = ( 57974 × 57994) / 2
LCM(57974,57994) = 3362144156 / 2
LCM(57974,57994) = 1681072078

Least Common Multiple (LCM) of 57974 and 57994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57974 and 57994. First we will calculate the prime factors of 57974 and 57994.

Prime Factorization of 57974

Prime Factorization of 57994

Now multiplying the highest exponent prime factors to calculate the LCM of 57974 and 57994.

LCM(57974,57994) = 2¹ × 7¹ × 41¹ × 101¹ × 107¹ × 271¹
LCM(57974,57994) = 1681072078