What is the Least Common Multiple of 57684 and 57702?

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 57702 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 57702, than apply into the LCM equation.

GCF(57684,57702) = 6
LCM(57684,57702) = ( 57684 × 57702) / 6
LCM(57684,57702) = 3328482168 / 6
LCM(57684,57702) = 554747028

Least Common Multiple (LCM) of 57684 and 57702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57684 and 57702. First we will calculate the prime factors of 57684 and 57702.

Prime Factorization of 57684

Prime Factorization of 57702

Now multiplying the highest exponent prime factors to calculate the LCM of 57684 and 57702.

LCM(57684,57702) = 2² × 3¹ × 11¹ × 19¹ × 23¹ × 59¹ × 163¹
LCM(57684,57702) = 554747028