What is the Least Common Multiple of 29034 and 29048?

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 29034 and 29048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29034 and 29048, than apply into the LCM equation.

GCF(29034,29048) = 2
LCM(29034,29048) = ( 29034 × 29048) / 2
LCM(29034,29048) = 843379632 / 2
LCM(29034,29048) = 421689816

Least Common Multiple (LCM) of 29034 and 29048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29034 and 29048. First we will calculate the prime factors of 29034 and 29048.

Prime Factorization of 29034

Prime Factorization of 29048

Now multiplying the highest exponent prime factors to calculate the LCM of 29034 and 29048.

LCM(29034,29048) = 2³ × 3² × 1613¹ × 3631¹
LCM(29034,29048) = 421689816