What is the Least Common Multiple of 29298 and 29306?

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 29306 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 29306, than apply into the LCM equation.

GCF(29298,29306) = 2
LCM(29298,29306) = ( 29298 × 29306) / 2
LCM(29298,29306) = 858607188 / 2
LCM(29298,29306) = 429303594

Least Common Multiple (LCM) of 29298 and 29306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29298 and 29306. First we will calculate the prime factors of 29298 and 29306.

Prime Factorization of 29298

Prime Factorization of 29306

Now multiplying the highest exponent prime factors to calculate the LCM of 29298 and 29306.

LCM(29298,29306) = 2¹ × 3¹ × 19¹ × 257¹ × 14653¹
LCM(29298,29306) = 429303594