What is the Least Common Multiple of 71520 and 71540?

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 71540 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 71540, than apply into the LCM equation.

GCF(71520,71540) = 20
LCM(71520,71540) = ( 71520 × 71540) / 20
LCM(71520,71540) = 5116540800 / 20
LCM(71520,71540) = 255827040

Least Common Multiple (LCM) of 71520 and 71540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71520 and 71540. First we will calculate the prime factors of 71520 and 71540.

Prime Factorization of 71520

Prime Factorization of 71540

Now multiplying the highest exponent prime factors to calculate the LCM of 71520 and 71540.

LCM(71520,71540) = 2⁵ × 3¹ × 5¹ × 149¹ × 7² × 73¹
LCM(71520,71540) = 255827040