What is the Least Common Multiple of 14824 and 14830?

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 14824 and 14830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14824 and 14830, than apply into the LCM equation.

GCF(14824,14830) = 2
LCM(14824,14830) = ( 14824 × 14830) / 2
LCM(14824,14830) = 219839920 / 2
LCM(14824,14830) = 109919960

Least Common Multiple (LCM) of 14824 and 14830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14824 and 14830. First we will calculate the prime factors of 14824 and 14830.

Prime Factorization of 14824

Prime Factorization of 14830

Now multiplying the highest exponent prime factors to calculate the LCM of 14824 and 14830.

LCM(14824,14830) = 2³ × 17¹ × 109¹ × 5¹ × 1483¹
LCM(14824,14830) = 109919960