What is the Least Common Multiple of 61704 and 61714?

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 61714 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 61714, than apply into the LCM equation.

GCF(61704,61714) = 2
LCM(61704,61714) = ( 61704 × 61714) / 2
LCM(61704,61714) = 3808000656 / 2
LCM(61704,61714) = 1904000328

Least Common Multiple (LCM) of 61704 and 61714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61704 and 61714. First we will calculate the prime factors of 61704 and 61714.

Prime Factorization of 61704

Prime Factorization of 61714

Now multiplying the highest exponent prime factors to calculate the LCM of 61704 and 61714.

LCM(61704,61714) = 2³ × 3² × 857¹ × 59¹ × 523¹
LCM(61704,61714) = 1904000328