What is the Least Common Multiple of 15429 and 15435?

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 15429 and 15435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15429 and 15435, than apply into the LCM equation.

GCF(15429,15435) = 3
LCM(15429,15435) = ( 15429 × 15435) / 3
LCM(15429,15435) = 238146615 / 3
LCM(15429,15435) = 79382205

Least Common Multiple (LCM) of 15429 and 15435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15429 and 15435. First we will calculate the prime factors of 15429 and 15435.

Prime Factorization of 15429

Prime Factorization of 15435

Now multiplying the highest exponent prime factors to calculate the LCM of 15429 and 15435.

LCM(15429,15435) = 3² × 37¹ × 139¹ × 5¹ × 7³
LCM(15429,15435) = 79382205