What is the Least Common Multiple of 29430 and 29435?

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 29430 and 29435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29430 and 29435, than apply into the LCM equation.

GCF(29430,29435) = 5
LCM(29430,29435) = ( 29430 × 29435) / 5
LCM(29430,29435) = 866272050 / 5
LCM(29430,29435) = 173254410

Least Common Multiple (LCM) of 29430 and 29435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29430 and 29435. First we will calculate the prime factors of 29430 and 29435.

Prime Factorization of 29430

Prime Factorization of 29435

Now multiplying the highest exponent prime factors to calculate the LCM of 29430 and 29435.

LCM(29430,29435) = 2¹ × 3³ × 5¹ × 109¹ × 7¹ × 29²
LCM(29430,29435) = 173254410