What is the Least Common Multiple of 61677 and 61688?

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 61688 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 61688, than apply into the LCM equation.

GCF(61677,61688) = 11
LCM(61677,61688) = ( 61677 × 61688) / 11
LCM(61677,61688) = 3804730776 / 11
LCM(61677,61688) = 345884616

Least Common Multiple (LCM) of 61677 and 61688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61677 and 61688. First we will calculate the prime factors of 61677 and 61688.

Prime Factorization of 61677

Prime Factorization of 61688

Now multiplying the highest exponent prime factors to calculate the LCM of 61677 and 61688.

LCM(61677,61688) = 3² × 7¹ × 11¹ × 89¹ × 2³ × 701¹
LCM(61677,61688) = 345884616