What is the Least Common Multiple of 60688 and 60700?

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 60688 and 60700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60688 and 60700, than apply into the LCM equation.

GCF(60688,60700) = 4
LCM(60688,60700) = ( 60688 × 60700) / 4
LCM(60688,60700) = 3683761600 / 4
LCM(60688,60700) = 920940400

Least Common Multiple (LCM) of 60688 and 60700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60688 and 60700. First we will calculate the prime factors of 60688 and 60700.

Prime Factorization of 60688

Prime Factorization of 60700

Now multiplying the highest exponent prime factors to calculate the LCM of 60688 and 60700.

LCM(60688,60700) = 2⁴ × 3793¹ × 5² × 607¹
LCM(60688,60700) = 920940400