What is the Least Common Multiple of 61280 and 61297?

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 61297 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 61297, than apply into the LCM equation.

GCF(61280,61297) = 1
LCM(61280,61297) = ( 61280 × 61297) / 1
LCM(61280,61297) = 3756280160 / 1
LCM(61280,61297) = 3756280160

Least Common Multiple (LCM) of 61280 and 61297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61280 and 61297. First we will calculate the prime factors of 61280 and 61297.

Prime Factorization of 61280

Prime Factorization of 61297

Now multiplying the highest exponent prime factors to calculate the LCM of 61280 and 61297.

LCM(61280,61297) = 2⁵ × 5¹ × 383¹ × 61297¹
LCM(61280,61297) = 3756280160