What is the Least Common Multiple of 61305 and 61318?

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 61305 and 61318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61305 and 61318, than apply into the LCM equation.

GCF(61305,61318) = 1
LCM(61305,61318) = ( 61305 × 61318) / 1
LCM(61305,61318) = 3759099990 / 1
LCM(61305,61318) = 3759099990

Least Common Multiple (LCM) of 61305 and 61318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61305 and 61318. First we will calculate the prime factors of 61305 and 61318.

Prime Factorization of 61305

Prime Factorization of 61318

Now multiplying the highest exponent prime factors to calculate the LCM of 61305 and 61318.

LCM(61305,61318) = 3¹ × 5¹ × 61¹ × 67¹ × 2¹ × 23¹ × 31¹ × 43¹
LCM(61305,61318) = 3759099990