What is the Least Common Multiple of 34643 and 34654?

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 34643 and 34654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34643 and 34654, than apply into the LCM equation.

GCF(34643,34654) = 1
LCM(34643,34654) = ( 34643 × 34654) / 1
LCM(34643,34654) = 1200518522 / 1
LCM(34643,34654) = 1200518522

Least Common Multiple (LCM) of 34643 and 34654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34643 and 34654. First we will calculate the prime factors of 34643 and 34654.

Prime Factorization of 34643

Prime Factorization of 34654

Now multiplying the highest exponent prime factors to calculate the LCM of 34643 and 34654.

LCM(34643,34654) = 7³ × 101¹ × 2¹ × 17327¹
LCM(34643,34654) = 1200518522