What is the Least Common Multiple of 72580 and 72592?

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 72580 and 72592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72580 and 72592, than apply into the LCM equation.

GCF(72580,72592) = 4
LCM(72580,72592) = ( 72580 × 72592) / 4
LCM(72580,72592) = 5268727360 / 4
LCM(72580,72592) = 1317181840

Least Common Multiple (LCM) of 72580 and 72592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72580 and 72592. First we will calculate the prime factors of 72580 and 72592.

Prime Factorization of 72580

Prime Factorization of 72592

Now multiplying the highest exponent prime factors to calculate the LCM of 72580 and 72592.

LCM(72580,72592) = 2⁴ × 5¹ × 19¹ × 191¹ × 13¹ × 349¹
LCM(72580,72592) = 1317181840