What is the Least Common Multiple of 15414 and 15429?

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 15414 and 15429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15414 and 15429, than apply into the LCM equation.

GCF(15414,15429) = 3
LCM(15414,15429) = ( 15414 × 15429) / 3
LCM(15414,15429) = 237822606 / 3
LCM(15414,15429) = 79274202

Least Common Multiple (LCM) of 15414 and 15429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15414 and 15429. First we will calculate the prime factors of 15414 and 15429.

Prime Factorization of 15414

Prime Factorization of 15429

Now multiplying the highest exponent prime factors to calculate the LCM of 15414 and 15429.

LCM(15414,15429) = 2¹ × 3¹ × 7¹ × 367¹ × 37¹ × 139¹
LCM(15414,15429) = 79274202