What is the Least Common Multiple of 13034 and 13048?

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 13034 and 13048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13034 and 13048, than apply into the LCM equation.

GCF(13034,13048) = 14
LCM(13034,13048) = ( 13034 × 13048) / 14
LCM(13034,13048) = 170067632 / 14
LCM(13034,13048) = 12147688

Least Common Multiple (LCM) of 13034 and 13048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13034 and 13048. First we will calculate the prime factors of 13034 and 13048.

Prime Factorization of 13034

Prime Factorization of 13048

Now multiplying the highest exponent prime factors to calculate the LCM of 13034 and 13048.

LCM(13034,13048) = 2³ × 7³ × 19¹ × 233¹
LCM(13034,13048) = 12147688