What is the Least Common Multiple of 34626 and 34638?

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 34626 and 34638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34626 and 34638, than apply into the LCM equation.

GCF(34626,34638) = 6
LCM(34626,34638) = ( 34626 × 34638) / 6
LCM(34626,34638) = 1199375388 / 6
LCM(34626,34638) = 199895898

Least Common Multiple (LCM) of 34626 and 34638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34626 and 34638. First we will calculate the prime factors of 34626 and 34638.

Prime Factorization of 34626

Prime Factorization of 34638

Now multiplying the highest exponent prime factors to calculate the LCM of 34626 and 34638.

LCM(34626,34638) = 2¹ × 3¹ × 29¹ × 199¹ × 23¹ × 251¹
LCM(34626,34638) = 199895898