What is the Least Common Multiple of 61304 and 61314?

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 61304 and 61314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61304 and 61314, than apply into the LCM equation.

GCF(61304,61314) = 2
LCM(61304,61314) = ( 61304 × 61314) / 2
LCM(61304,61314) = 3758793456 / 2
LCM(61304,61314) = 1879396728

Least Common Multiple (LCM) of 61304 and 61314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61304 and 61314. First we will calculate the prime factors of 61304 and 61314.

Prime Factorization of 61304

Prime Factorization of 61314

Now multiplying the highest exponent prime factors to calculate the LCM of 61304 and 61314.

LCM(61304,61314) = 2³ × 79¹ × 97¹ × 3¹ × 11¹ × 929¹
LCM(61304,61314) = 1879396728