What is the Least Common Multiple of 34374 and 34380?

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 34374 and 34380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34374 and 34380, than apply into the LCM equation.

GCF(34374,34380) = 6
LCM(34374,34380) = ( 34374 × 34380) / 6
LCM(34374,34380) = 1181778120 / 6
LCM(34374,34380) = 196963020

Least Common Multiple (LCM) of 34374 and 34380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34374 and 34380. First we will calculate the prime factors of 34374 and 34380.

Prime Factorization of 34374

Prime Factorization of 34380

Now multiplying the highest exponent prime factors to calculate the LCM of 34374 and 34380.

LCM(34374,34380) = 2² × 3² × 17¹ × 337¹ × 5¹ × 191¹
LCM(34374,34380) = 196963020