What is the Least Common Multiple of 60646 and 60662?

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 60646 and 60662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60646 and 60662, than apply into the LCM equation.

GCF(60646,60662) = 2
LCM(60646,60662) = ( 60646 × 60662) / 2
LCM(60646,60662) = 3678907652 / 2
LCM(60646,60662) = 1839453826

Least Common Multiple (LCM) of 60646 and 60662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60646 and 60662. First we will calculate the prime factors of 60646 and 60662.

Prime Factorization of 60646

Prime Factorization of 60662

Now multiplying the highest exponent prime factors to calculate the LCM of 60646 and 60662.

LCM(60646,60662) = 2¹ × 30323¹ × 7² × 619¹
LCM(60646,60662) = 1839453826