What is the Least Common Multiple of 61272 and 61280?

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 61272 and 61280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61272 and 61280, than apply into the LCM equation.

GCF(61272,61280) = 8
LCM(61272,61280) = ( 61272 × 61280) / 8
LCM(61272,61280) = 3754748160 / 8
LCM(61272,61280) = 469343520

Least Common Multiple (LCM) of 61272 and 61280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61272 and 61280. First we will calculate the prime factors of 61272 and 61280.

Prime Factorization of 61272

Prime Factorization of 61280

Now multiplying the highest exponent prime factors to calculate the LCM of 61272 and 61280.

LCM(61272,61280) = 2⁵ × 3² × 23¹ × 37¹ × 5¹ × 383¹
LCM(61272,61280) = 469343520