What is the Least Common Multiple of 68664 and 68684?

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 68664 and 68684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68664 and 68684, than apply into the LCM equation.

GCF(68664,68684) = 4
LCM(68664,68684) = ( 68664 × 68684) / 4
LCM(68664,68684) = 4716118176 / 4
LCM(68664,68684) = 1179029544

Least Common Multiple (LCM) of 68664 and 68684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68664 and 68684. First we will calculate the prime factors of 68664 and 68684.

Prime Factorization of 68664

Prime Factorization of 68684

Now multiplying the highest exponent prime factors to calculate the LCM of 68664 and 68684.

LCM(68664,68684) = 2³ × 3¹ × 2861¹ × 7¹ × 11¹ × 223¹
LCM(68664,68684) = 1179029544