What is the Least Common Multiple of 60657 and 60667?

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 60657 and 60667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60657 and 60667, than apply into the LCM equation.

GCF(60657,60667) = 1
LCM(60657,60667) = ( 60657 × 60667) / 1
LCM(60657,60667) = 3679878219 / 1
LCM(60657,60667) = 3679878219

Least Common Multiple (LCM) of 60657 and 60667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60657 and 60667. First we will calculate the prime factors of 60657 and 60667.

Prime Factorization of 60657

Prime Factorization of 60667

Now multiplying the highest exponent prime factors to calculate the LCM of 60657 and 60667.

LCM(60657,60667) = 3¹ × 20219¹ × 19¹ × 31¹ × 103¹
LCM(60657,60667) = 3679878219