What is the Least Common Multiple of 71539 and 71552?

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 71539 and 71552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71539 and 71552, than apply into the LCM equation.

GCF(71539,71552) = 13
LCM(71539,71552) = ( 71539 × 71552) / 13
LCM(71539,71552) = 5118758528 / 13
LCM(71539,71552) = 393750656

Least Common Multiple (LCM) of 71539 and 71552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71539 and 71552. First we will calculate the prime factors of 71539 and 71552.

Prime Factorization of 71539

Prime Factorization of 71552

Now multiplying the highest exponent prime factors to calculate the LCM of 71539 and 71552.

LCM(71539,71552) = 13¹ × 5503¹ × 2⁷ × 43¹
LCM(71539,71552) = 393750656