What is the Least Common Multiple of 68752 and 68760?

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 68752 and 68760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68752 and 68760, than apply into the LCM equation.

GCF(68752,68760) = 8
LCM(68752,68760) = ( 68752 × 68760) / 8
LCM(68752,68760) = 4727387520 / 8
LCM(68752,68760) = 590923440

Least Common Multiple (LCM) of 68752 and 68760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68752 and 68760. First we will calculate the prime factors of 68752 and 68760.

Prime Factorization of 68752

Prime Factorization of 68760

Now multiplying the highest exponent prime factors to calculate the LCM of 68752 and 68760.

LCM(68752,68760) = 2⁴ × 4297¹ × 3² × 5¹ × 191¹
LCM(68752,68760) = 590923440