What is the Least Common Multiple of 71520 and 71531?

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 71520 and 71531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71520 and 71531, than apply into the LCM equation.

GCF(71520,71531) = 1
LCM(71520,71531) = ( 71520 × 71531) / 1
LCM(71520,71531) = 5115897120 / 1
LCM(71520,71531) = 5115897120

Least Common Multiple (LCM) of 71520 and 71531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71520 and 71531. First we will calculate the prime factors of 71520 and 71531.

Prime Factorization of 71520

Prime Factorization of 71531

Now multiplying the highest exponent prime factors to calculate the LCM of 71520 and 71531.

LCM(71520,71531) = 2⁵ × 3¹ × 5¹ × 149¹ × 233¹ × 307¹
LCM(71520,71531) = 5115897120