What is the Least Common Multiple of 34489 and 34502?

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 34489 and 34502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34489 and 34502, than apply into the LCM equation.

GCF(34489,34502) = 13
LCM(34489,34502) = ( 34489 × 34502) / 13
LCM(34489,34502) = 1189939478 / 13
LCM(34489,34502) = 91533806

Least Common Multiple (LCM) of 34489 and 34502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34489 and 34502. First we will calculate the prime factors of 34489 and 34502.

Prime Factorization of 34489

Prime Factorization of 34502

Now multiplying the highest exponent prime factors to calculate the LCM of 34489 and 34502.

LCM(34489,34502) = 7¹ × 13¹ × 379¹ × 2¹ × 1327¹
LCM(34489,34502) = 91533806