What is the Least Common Multiple of 75346 and 75356?

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 75346 and 75356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75346 and 75356, than apply into the LCM equation.

GCF(75346,75356) = 2
LCM(75346,75356) = ( 75346 × 75356) / 2
LCM(75346,75356) = 5677773176 / 2
LCM(75346,75356) = 2838886588

Least Common Multiple (LCM) of 75346 and 75356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75346 and 75356. First we will calculate the prime factors of 75346 and 75356.

Prime Factorization of 75346

Prime Factorization of 75356

Now multiplying the highest exponent prime factors to calculate the LCM of 75346 and 75356.

LCM(75346,75356) = 2² × 101¹ × 373¹ × 18839¹
LCM(75346,75356) = 2838886588