What is the Least Common Multiple of 75723 and 75735?

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 75723 and 75735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75723 and 75735, than apply into the LCM equation.

GCF(75723,75735) = 3
LCM(75723,75735) = ( 75723 × 75735) / 3
LCM(75723,75735) = 5734881405 / 3
LCM(75723,75735) = 1911627135

Least Common Multiple (LCM) of 75723 and 75735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75723 and 75735. First we will calculate the prime factors of 75723 and 75735.

Prime Factorization of 75723

Prime Factorization of 75735

Now multiplying the highest exponent prime factors to calculate the LCM of 75723 and 75735.

LCM(75723,75735) = 3⁴ × 43¹ × 587¹ × 5¹ × 11¹ × 17¹
LCM(75723,75735) = 1911627135