What is the Least Common Multiple of 61641 and 61658?

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 61641 and 61658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61641 and 61658, than apply into the LCM equation.

GCF(61641,61658) = 1
LCM(61641,61658) = ( 61641 × 61658) / 1
LCM(61641,61658) = 3800660778 / 1
LCM(61641,61658) = 3800660778

Least Common Multiple (LCM) of 61641 and 61658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61641 and 61658. First we will calculate the prime factors of 61641 and 61658.

Prime Factorization of 61641

Prime Factorization of 61658

Now multiplying the highest exponent prime factors to calculate the LCM of 61641 and 61658.

LCM(61641,61658) = 3⁴ × 761¹ × 2¹ × 30829¹
LCM(61641,61658) = 3800660778