What is the Least Common Multiple of 57684 and 57694?

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 57684 and 57694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57684 and 57694, than apply into the LCM equation.

GCF(57684,57694) = 2
LCM(57684,57694) = ( 57684 × 57694) / 2
LCM(57684,57694) = 3328020696 / 2
LCM(57684,57694) = 1664010348

Least Common Multiple (LCM) of 57684 and 57694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57684 and 57694. First we will calculate the prime factors of 57684 and 57694.

Prime Factorization of 57684

Prime Factorization of 57694

Now multiplying the highest exponent prime factors to calculate the LCM of 57684 and 57694.

LCM(57684,57694) = 2² × 3¹ × 11¹ × 19¹ × 23¹ × 7¹ × 13¹ × 317¹
LCM(57684,57694) = 1664010348