What is the Least Common Multiple of 45345 and 45351?

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 45351 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 45351, than apply into the LCM equation.

GCF(45345,45351) = 3
LCM(45345,45351) = ( 45345 × 45351) / 3
LCM(45345,45351) = 2056441095 / 3
LCM(45345,45351) = 685480365

Least Common Multiple (LCM) of 45345 and 45351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45345 and 45351. First we will calculate the prime factors of 45345 and 45351.

Prime Factorization of 45345

Prime Factorization of 45351

Now multiplying the highest exponent prime factors to calculate the LCM of 45345 and 45351.

LCM(45345,45351) = 3² × 5¹ × 3023¹ × 5039¹
LCM(45345,45351) = 685480365