What is the Least Common Multiple of 60659 and 60673?

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 60659 and 60673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60659 and 60673, than apply into the LCM equation.

GCF(60659,60673) = 1
LCM(60659,60673) = ( 60659 × 60673) / 1
LCM(60659,60673) = 3680363507 / 1
LCM(60659,60673) = 3680363507

Least Common Multiple (LCM) of 60659 and 60673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60659 and 60673. First we will calculate the prime factors of 60659 and 60673.

Prime Factorization of 60659

Prime Factorization of 60673

Now multiplying the highest exponent prime factors to calculate the LCM of 60659 and 60673.

LCM(60659,60673) = 60659¹ × 17¹ × 43¹ × 83¹
LCM(60659,60673) = 3680363507