What is the Least Common Multiple of 61677 and 61686?

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 61677 and 61686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61677 and 61686, than apply into the LCM equation.

GCF(61677,61686) = 9
LCM(61677,61686) = ( 61677 × 61686) / 9
LCM(61677,61686) = 3804607422 / 9
LCM(61677,61686) = 422734158

Least Common Multiple (LCM) of 61677 and 61686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61677 and 61686. First we will calculate the prime factors of 61677 and 61686.

Prime Factorization of 61677

Prime Factorization of 61686

Now multiplying the highest exponent prime factors to calculate the LCM of 61677 and 61686.

LCM(61677,61686) = 3² × 7¹ × 11¹ × 89¹ × 2¹ × 23¹ × 149¹
LCM(61677,61686) = 422734158