What is the Least Common Multiple of 29340 and 29354?

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 29340 and 29354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29340 and 29354, than apply into the LCM equation.

GCF(29340,29354) = 2
LCM(29340,29354) = ( 29340 × 29354) / 2
LCM(29340,29354) = 861246360 / 2
LCM(29340,29354) = 430623180

Least Common Multiple (LCM) of 29340 and 29354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29340 and 29354. First we will calculate the prime factors of 29340 and 29354.

Prime Factorization of 29340

Prime Factorization of 29354

Now multiplying the highest exponent prime factors to calculate the LCM of 29340 and 29354.

LCM(29340,29354) = 2² × 3² × 5¹ × 163¹ × 13¹ × 1129¹
LCM(29340,29354) = 430623180