What is the Least Common Multiple of 61318 and 61334?

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 61318 and 61334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61318 and 61334, than apply into the LCM equation.

GCF(61318,61334) = 2
LCM(61318,61334) = ( 61318 × 61334) / 2
LCM(61318,61334) = 3760878212 / 2
LCM(61318,61334) = 1880439106

Least Common Multiple (LCM) of 61318 and 61334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61318 and 61334. First we will calculate the prime factors of 61318 and 61334.

Prime Factorization of 61318

Prime Factorization of 61334

Now multiplying the highest exponent prime factors to calculate the LCM of 61318 and 61334.

LCM(61318,61334) = 2¹ × 23¹ × 31¹ × 43¹ × 7¹ × 13¹ × 337¹
LCM(61318,61334) = 1880439106