What is the Least Common Multiple of 68728 and 68740?

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 68728 and 68740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68728 and 68740, than apply into the LCM equation.

GCF(68728,68740) = 4
LCM(68728,68740) = ( 68728 × 68740) / 4
LCM(68728,68740) = 4724362720 / 4
LCM(68728,68740) = 1181090680

Least Common Multiple (LCM) of 68728 and 68740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68728 and 68740. First we will calculate the prime factors of 68728 and 68740.

Prime Factorization of 68728

Prime Factorization of 68740

Now multiplying the highest exponent prime factors to calculate the LCM of 68728 and 68740.

LCM(68728,68740) = 2³ × 11² × 71¹ × 5¹ × 7¹ × 491¹
LCM(68728,68740) = 1181090680