What is the Least Common Multiple of 61280 and 61300?

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 61280 and 61300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61280 and 61300, than apply into the LCM equation.

GCF(61280,61300) = 20
LCM(61280,61300) = ( 61280 × 61300) / 20
LCM(61280,61300) = 3756464000 / 20
LCM(61280,61300) = 187823200

Least Common Multiple (LCM) of 61280 and 61300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61280 and 61300. First we will calculate the prime factors of 61280 and 61300.

Prime Factorization of 61280

Prime Factorization of 61300

Now multiplying the highest exponent prime factors to calculate the LCM of 61280 and 61300.

LCM(61280,61300) = 2⁵ × 5² × 383¹ × 613¹
LCM(61280,61300) = 187823200