What is the Least Common Multiple of 68752 and 68769?

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 68769 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 68769, than apply into the LCM equation.

GCF(68752,68769) = 1
LCM(68752,68769) = ( 68752 × 68769) / 1
LCM(68752,68769) = 4728006288 / 1
LCM(68752,68769) = 4728006288

Least Common Multiple (LCM) of 68752 and 68769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68752 and 68769. First we will calculate the prime factors of 68752 and 68769.

Prime Factorization of 68752

Prime Factorization of 68769

Now multiplying the highest exponent prime factors to calculate the LCM of 68752 and 68769.

LCM(68752,68769) = 2⁴ × 4297¹ × 3⁵ × 283¹
LCM(68752,68769) = 4728006288