What is the Least Common Multiple of 345 and 355?

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 345 and 355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 345 and 355, than apply into the LCM equation.

GCF(345,355) = 5
LCM(345,355) = ( 345 × 355) / 5
LCM(345,355) = 122475 / 5
LCM(345,355) = 24495

Least Common Multiple (LCM) of 345 and 355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 345 and 355. First we will calculate the prime factors of 345 and 355.

Prime Factorization of 345

Prime Factorization of 355

Now multiplying the highest exponent prime factors to calculate the LCM of 345 and 355.

LCM(345,355) = 3¹ × 5¹ × 23¹ × 71¹
LCM(345,355) = 24495