What is the Least Common Multiple of 75540 and 75560?

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 75540 and 75560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75540 and 75560, than apply into the LCM equation.

GCF(75540,75560) = 20
LCM(75540,75560) = ( 75540 × 75560) / 20
LCM(75540,75560) = 5707802400 / 20
LCM(75540,75560) = 285390120

Least Common Multiple (LCM) of 75540 and 75560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75540 and 75560. First we will calculate the prime factors of 75540 and 75560.

Prime Factorization of 75540

Prime Factorization of 75560

Now multiplying the highest exponent prime factors to calculate the LCM of 75540 and 75560.

LCM(75540,75560) = 2³ × 3¹ × 5¹ × 1259¹ × 1889¹
LCM(75540,75560) = 285390120