What is the Least Common Multiple of 34356 and 34374?

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 34356 and 34374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34356 and 34374, than apply into the LCM equation.

GCF(34356,34374) = 6
LCM(34356,34374) = ( 34356 × 34374) / 6
LCM(34356,34374) = 1180953144 / 6
LCM(34356,34374) = 196825524

Least Common Multiple (LCM) of 34356 and 34374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34356 and 34374. First we will calculate the prime factors of 34356 and 34374.

Prime Factorization of 34356

Prime Factorization of 34374

Now multiplying the highest exponent prime factors to calculate the LCM of 34356 and 34374.

LCM(34356,34374) = 2² × 3¹ × 7¹ × 409¹ × 17¹ × 337¹
LCM(34356,34374) = 196825524