What is the Least Common Multiple of 71535 and 71544?

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 71535 and 71544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71535 and 71544, than apply into the LCM equation.

GCF(71535,71544) = 3
LCM(71535,71544) = ( 71535 × 71544) / 3
LCM(71535,71544) = 5117900040 / 3
LCM(71535,71544) = 1705966680

Least Common Multiple (LCM) of 71535 and 71544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71535 and 71544. First we will calculate the prime factors of 71535 and 71544.

Prime Factorization of 71535

Prime Factorization of 71544

Now multiplying the highest exponent prime factors to calculate the LCM of 71535 and 71544.

LCM(71535,71544) = 3¹ × 5¹ × 19¹ × 251¹ × 2³ × 11¹ × 271¹
LCM(71535,71544) = 1705966680