What is the Least Common Multiple of 61345 and 61355?

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 61345 and 61355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61345 and 61355, than apply into the LCM equation.

GCF(61345,61355) = 5
LCM(61345,61355) = ( 61345 × 61355) / 5
LCM(61345,61355) = 3763822475 / 5
LCM(61345,61355) = 752764495

Least Common Multiple (LCM) of 61345 and 61355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61345 and 61355. First we will calculate the prime factors of 61345 and 61355.

Prime Factorization of 61345

Prime Factorization of 61355

Now multiplying the highest exponent prime factors to calculate the LCM of 61345 and 61355.

LCM(61345,61355) = 5¹ × 12269¹ × 7¹ × 1753¹
LCM(61345,61355) = 752764495