What is the Least Common Multiple of 29734 and 29746?

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 29734 and 29746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29734 and 29746, than apply into the LCM equation.

GCF(29734,29746) = 2
LCM(29734,29746) = ( 29734 × 29746) / 2
LCM(29734,29746) = 884467564 / 2
LCM(29734,29746) = 442233782

Least Common Multiple (LCM) of 29734 and 29746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29734 and 29746. First we will calculate the prime factors of 29734 and 29746.

Prime Factorization of 29734

Prime Factorization of 29746

Now multiplying the highest exponent prime factors to calculate the LCM of 29734 and 29746.

LCM(29734,29746) = 2¹ × 14867¹ × 107¹ × 139¹
LCM(29734,29746) = 442233782