What is the Least Common Multiple of 60643 and 60661?

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 60643 and 60661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60643 and 60661, than apply into the LCM equation.

GCF(60643,60661) = 1
LCM(60643,60661) = ( 60643 × 60661) / 1
LCM(60643,60661) = 3678665023 / 1
LCM(60643,60661) = 3678665023

Least Common Multiple (LCM) of 60643 and 60661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60643 and 60661. First we will calculate the prime factors of 60643 and 60661.

Prime Factorization of 60643

Prime Factorization of 60661

Now multiplying the highest exponent prime factors to calculate the LCM of 60643 and 60661.

LCM(60643,60661) = 11¹ × 37¹ × 149¹ × 60661¹
LCM(60643,60661) = 3678665023