What is the Least Common Multiple of 71509 and 71524?

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 71509 and 71524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71509 and 71524, than apply into the LCM equation.

GCF(71509,71524) = 1
LCM(71509,71524) = ( 71509 × 71524) / 1
LCM(71509,71524) = 5114609716 / 1
LCM(71509,71524) = 5114609716

Least Common Multiple (LCM) of 71509 and 71524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71509 and 71524. First we will calculate the prime factors of 71509 and 71524.

Prime Factorization of 71509

Prime Factorization of 71524

Now multiplying the highest exponent prime factors to calculate the LCM of 71509 and 71524.

LCM(71509,71524) = 43¹ × 1663¹ × 2² × 17881¹
LCM(71509,71524) = 5114609716