What is the Least Common Multiple of 19440 and 19460?

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 19440 and 19460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19440 and 19460, than apply into the LCM equation.

GCF(19440,19460) = 20
LCM(19440,19460) = ( 19440 × 19460) / 20
LCM(19440,19460) = 378302400 / 20
LCM(19440,19460) = 18915120

Least Common Multiple (LCM) of 19440 and 19460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19440 and 19460. First we will calculate the prime factors of 19440 and 19460.

Prime Factorization of 19440

Prime Factorization of 19460

Now multiplying the highest exponent prime factors to calculate the LCM of 19440 and 19460.

LCM(19440,19460) = 2⁴ × 3⁵ × 5¹ × 7¹ × 139¹
LCM(19440,19460) = 18915120