What is the Least Common Multiple of 71508 and 71523?

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 71508 and 71523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71508 and 71523, than apply into the LCM equation.

GCF(71508,71523) = 3
LCM(71508,71523) = ( 71508 × 71523) / 3
LCM(71508,71523) = 5114466684 / 3
LCM(71508,71523) = 1704822228

Least Common Multiple (LCM) of 71508 and 71523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71508 and 71523. First we will calculate the prime factors of 71508 and 71523.

Prime Factorization of 71508

Prime Factorization of 71523

Now multiplying the highest exponent prime factors to calculate the LCM of 71508 and 71523.

LCM(71508,71523) = 2² × 3⁴ × 59¹ × 101¹ × 883¹
LCM(71508,71523) = 1704822228