What is the Least Common Multiple of 35724 and 35735?

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 35724 and 35735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35724 and 35735, than apply into the LCM equation.

GCF(35724,35735) = 1
LCM(35724,35735) = ( 35724 × 35735) / 1
LCM(35724,35735) = 1276597140 / 1
LCM(35724,35735) = 1276597140

Least Common Multiple (LCM) of 35724 and 35735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35724 and 35735. First we will calculate the prime factors of 35724 and 35735.

Prime Factorization of 35724

Prime Factorization of 35735

Now multiplying the highest exponent prime factors to calculate the LCM of 35724 and 35735.

LCM(35724,35735) = 2² × 3¹ × 13¹ × 229¹ × 5¹ × 7¹ × 1021¹
LCM(35724,35735) = 1276597140