What is the Least Common Multiple of 34635 and 34649?

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 34635 and 34649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34635 and 34649, than apply into the LCM equation.

GCF(34635,34649) = 1
LCM(34635,34649) = ( 34635 × 34649) / 1
LCM(34635,34649) = 1200068115 / 1
LCM(34635,34649) = 1200068115

Least Common Multiple (LCM) of 34635 and 34649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34635 and 34649. First we will calculate the prime factors of 34635 and 34649.

Prime Factorization of 34635

Prime Factorization of 34649

Now multiplying the highest exponent prime factors to calculate the LCM of 34635 and 34649.

LCM(34635,34649) = 3¹ × 5¹ × 2309¹ × 34649¹
LCM(34635,34649) = 1200068115