What is the Least Common Multiple of 60661 and 60681?

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 60661 and 60681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60661 and 60681, than apply into the LCM equation.

GCF(60661,60681) = 1
LCM(60661,60681) = ( 60661 × 60681) / 1
LCM(60661,60681) = 3680970141 / 1
LCM(60661,60681) = 3680970141

Least Common Multiple (LCM) of 60661 and 60681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60661 and 60681. First we will calculate the prime factors of 60661 and 60681.

Prime Factorization of 60661

Prime Factorization of 60681

Now multiplying the highest exponent prime factors to calculate the LCM of 60661 and 60681.

LCM(60661,60681) = 60661¹ × 3¹ × 113¹ × 179¹
LCM(60661,60681) = 3680970141