What is the Least Common Multiple of 60684 and 60704?

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 60684 and 60704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60684 and 60704, than apply into the LCM equation.

GCF(60684,60704) = 4
LCM(60684,60704) = ( 60684 × 60704) / 4
LCM(60684,60704) = 3683761536 / 4
LCM(60684,60704) = 920940384

Least Common Multiple (LCM) of 60684 and 60704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60684 and 60704. First we will calculate the prime factors of 60684 and 60704.

Prime Factorization of 60684

Prime Factorization of 60704

Now multiplying the highest exponent prime factors to calculate the LCM of 60684 and 60704.

LCM(60684,60704) = 2⁵ × 3¹ × 13¹ × 389¹ × 7¹ × 271¹
LCM(60684,60704) = 920940384