What is the Least Common Multiple of 61353 and 61372?

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 61353 and 61372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61353 and 61372, than apply into the LCM equation.

GCF(61353,61372) = 1
LCM(61353,61372) = ( 61353 × 61372) / 1
LCM(61353,61372) = 3765356316 / 1
LCM(61353,61372) = 3765356316

Least Common Multiple (LCM) of 61353 and 61372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61353 and 61372. First we will calculate the prime factors of 61353 and 61372.

Prime Factorization of 61353

Prime Factorization of 61372

Now multiplying the highest exponent prime factors to calculate the LCM of 61353 and 61372.

LCM(61353,61372) = 3² × 17¹ × 401¹ × 2² × 67¹ × 229¹
LCM(61353,61372) = 3765356316