What is the Least Common Multiple of 45345 and 45355?

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 45345 and 45355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45345 and 45355, than apply into the LCM equation.

GCF(45345,45355) = 5
LCM(45345,45355) = ( 45345 × 45355) / 5
LCM(45345,45355) = 2056622475 / 5
LCM(45345,45355) = 411324495

Least Common Multiple (LCM) of 45345 and 45355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45345 and 45355. First we will calculate the prime factors of 45345 and 45355.

Prime Factorization of 45345

Prime Factorization of 45355

Now multiplying the highest exponent prime factors to calculate the LCM of 45345 and 45355.

LCM(45345,45355) = 3¹ × 5¹ × 3023¹ × 47¹ × 193¹
LCM(45345,45355) = 411324495