What is the Least Common Multiple of 29298 and 29312?

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 29298 and 29312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29298 and 29312, than apply into the LCM equation.

GCF(29298,29312) = 2
LCM(29298,29312) = ( 29298 × 29312) / 2
LCM(29298,29312) = 858782976 / 2
LCM(29298,29312) = 429391488

Least Common Multiple (LCM) of 29298 and 29312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29298 and 29312. First we will calculate the prime factors of 29298 and 29312.

Prime Factorization of 29298

Prime Factorization of 29312

Now multiplying the highest exponent prime factors to calculate the LCM of 29298 and 29312.

LCM(29298,29312) = 2⁷ × 3¹ × 19¹ × 257¹ × 229¹
LCM(29298,29312) = 429391488