What is the Least Common Multiple of 61289 and 61304?

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 61289 and 61304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61289 and 61304, than apply into the LCM equation.

GCF(61289,61304) = 1
LCM(61289,61304) = ( 61289 × 61304) / 1
LCM(61289,61304) = 3757260856 / 1
LCM(61289,61304) = 3757260856

Least Common Multiple (LCM) of 61289 and 61304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61289 and 61304. First we will calculate the prime factors of 61289 and 61304.

Prime Factorization of 61289

Prime Factorization of 61304

Now multiplying the highest exponent prime factors to calculate the LCM of 61289 and 61304.

LCM(61289,61304) = 167¹ × 367¹ × 2³ × 79¹ × 97¹
LCM(61289,61304) = 3757260856