What is the Least Common Multiple of 61688 and 61704?

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 61688 and 61704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61688 and 61704, than apply into the LCM equation.

GCF(61688,61704) = 8
LCM(61688,61704) = ( 61688 × 61704) / 8
LCM(61688,61704) = 3806396352 / 8
LCM(61688,61704) = 475799544

Least Common Multiple (LCM) of 61688 and 61704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61688 and 61704. First we will calculate the prime factors of 61688 and 61704.

Prime Factorization of 61688

Prime Factorization of 61704

Now multiplying the highest exponent prime factors to calculate the LCM of 61688 and 61704.

LCM(61688,61704) = 2³ × 11¹ × 701¹ × 3² × 857¹
LCM(61688,61704) = 475799544