What is the Least Common Multiple of 15400 and 15414?

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 15400 and 15414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15400 and 15414, than apply into the LCM equation.

GCF(15400,15414) = 14
LCM(15400,15414) = ( 15400 × 15414) / 14
LCM(15400,15414) = 237375600 / 14
LCM(15400,15414) = 16955400

Least Common Multiple (LCM) of 15400 and 15414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15400 and 15414. First we will calculate the prime factors of 15400 and 15414.

Prime Factorization of 15400

Prime Factorization of 15414

Now multiplying the highest exponent prime factors to calculate the LCM of 15400 and 15414.

LCM(15400,15414) = 2³ × 5² × 7¹ × 11¹ × 3¹ × 367¹
LCM(15400,15414) = 16955400