What is the Least Common Multiple of 68740 and 68750?

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 68740 and 68750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68740 and 68750, than apply into the LCM equation.

GCF(68740,68750) = 10
LCM(68740,68750) = ( 68740 × 68750) / 10
LCM(68740,68750) = 4725875000 / 10
LCM(68740,68750) = 472587500

Least Common Multiple (LCM) of 68740 and 68750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68740 and 68750. First we will calculate the prime factors of 68740 and 68750.

Prime Factorization of 68740

Prime Factorization of 68750

Now multiplying the highest exponent prime factors to calculate the LCM of 68740 and 68750.

LCM(68740,68750) = 2² × 5⁵ × 7¹ × 491¹ × 11¹
LCM(68740,68750) = 472587500