What is the Least Common Multiple of 61346 and 61352?

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 61346 and 61352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61346 and 61352, than apply into the LCM equation.

GCF(61346,61352) = 2
LCM(61346,61352) = ( 61346 × 61352) / 2
LCM(61346,61352) = 3763699792 / 2
LCM(61346,61352) = 1881849896

Least Common Multiple (LCM) of 61346 and 61352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61346 and 61352. First we will calculate the prime factors of 61346 and 61352.

Prime Factorization of 61346

Prime Factorization of 61352

Now multiplying the highest exponent prime factors to calculate the LCM of 61346 and 61352.

LCM(61346,61352) = 2³ × 37¹ × 829¹ × 7669¹
LCM(61346,61352) = 1881849896