What is the Least Common Multiple of 29516 and 29531?

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 29516 and 29531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29516 and 29531, than apply into the LCM equation.

GCF(29516,29531) = 1
LCM(29516,29531) = ( 29516 × 29531) / 1
LCM(29516,29531) = 871636996 / 1
LCM(29516,29531) = 871636996

Least Common Multiple (LCM) of 29516 and 29531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29516 and 29531. First we will calculate the prime factors of 29516 and 29531.

Prime Factorization of 29516

Prime Factorization of 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 29516 and 29531.

LCM(29516,29531) = 2² × 47¹ × 157¹ × 29531¹
LCM(29516,29531) = 871636996