What is the Least Common Multiple of 61305 and 61312?

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 61312 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 61312, than apply into the LCM equation.

GCF(61305,61312) = 1
LCM(61305,61312) = ( 61305 × 61312) / 1
LCM(61305,61312) = 3758732160 / 1
LCM(61305,61312) = 3758732160

Least Common Multiple (LCM) of 61305 and 61312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61305 and 61312. First we will calculate the prime factors of 61305 and 61312.

Prime Factorization of 61305

Prime Factorization of 61312

Now multiplying the highest exponent prime factors to calculate the LCM of 61305 and 61312.

LCM(61305,61312) = 3¹ × 5¹ × 61¹ × 67¹ × 2⁷ × 479¹
LCM(61305,61312) = 3758732160