What is the Least Common Multiple of 29460 and 29474?

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 29460 and 29474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29460 and 29474, than apply into the LCM equation.

GCF(29460,29474) = 2
LCM(29460,29474) = ( 29460 × 29474) / 2
LCM(29460,29474) = 868304040 / 2
LCM(29460,29474) = 434152020

Least Common Multiple (LCM) of 29460 and 29474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29460 and 29474. First we will calculate the prime factors of 29460 and 29474.

Prime Factorization of 29460

Prime Factorization of 29474

Now multiplying the highest exponent prime factors to calculate the LCM of 29460 and 29474.

LCM(29460,29474) = 2² × 3¹ × 5¹ × 491¹ × 14737¹
LCM(29460,29474) = 434152020