What is the Least Common Multiple of 61704 and 61716?

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 61704 and 61716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61704 and 61716, than apply into the LCM equation.

GCF(61704,61716) = 12
LCM(61704,61716) = ( 61704 × 61716) / 12
LCM(61704,61716) = 3808124064 / 12
LCM(61704,61716) = 317343672

Least Common Multiple (LCM) of 61704 and 61716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61704 and 61716. First we will calculate the prime factors of 61704 and 61716.

Prime Factorization of 61704

Prime Factorization of 61716

Now multiplying the highest exponent prime factors to calculate the LCM of 61704 and 61716.

LCM(61704,61716) = 2³ × 3² × 857¹ × 37¹ × 139¹
LCM(61704,61716) = 317343672