What is the Least Common Multiple of 71540 and 71560?

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 71540 and 71560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71540 and 71560, than apply into the LCM equation.

GCF(71540,71560) = 20
LCM(71540,71560) = ( 71540 × 71560) / 20
LCM(71540,71560) = 5119402400 / 20
LCM(71540,71560) = 255970120

Least Common Multiple (LCM) of 71540 and 71560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71540 and 71560. First we will calculate the prime factors of 71540 and 71560.

Prime Factorization of 71540

Prime Factorization of 71560

Now multiplying the highest exponent prime factors to calculate the LCM of 71540 and 71560.

LCM(71540,71560) = 2³ × 5¹ × 7² × 73¹ × 1789¹
LCM(71540,71560) = 255970120