What is the Least Common Multiple of 60623 and 60634?

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 60623 and 60634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60623 and 60634, than apply into the LCM equation.

GCF(60623,60634) = 1
LCM(60623,60634) = ( 60623 × 60634) / 1
LCM(60623,60634) = 3675814982 / 1
LCM(60623,60634) = 3675814982

Least Common Multiple (LCM) of 60623 and 60634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60623 and 60634. First we will calculate the prime factors of 60623 and 60634.

Prime Factorization of 60623

Prime Factorization of 60634

Now multiplying the highest exponent prime factors to calculate the LCM of 60623 and 60634.

LCM(60623,60634) = 60623¹ × 2¹ × 7¹ × 61¹ × 71¹
LCM(60623,60634) = 3675814982