What is the Least Common Multiple of 34609 and 34628?

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 34609 and 34628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34609 and 34628, than apply into the LCM equation.

GCF(34609,34628) = 1
LCM(34609,34628) = ( 34609 × 34628) / 1
LCM(34609,34628) = 1198440452 / 1
LCM(34609,34628) = 1198440452

Least Common Multiple (LCM) of 34609 and 34628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34609 and 34628. First we will calculate the prime factors of 34609 and 34628.

Prime Factorization of 34609

Prime Factorization of 34628

Now multiplying the highest exponent prime factors to calculate the LCM of 34609 and 34628.

LCM(34609,34628) = 53¹ × 653¹ × 2² × 11¹ × 787¹
LCM(34609,34628) = 1198440452