What is the Least Common Multiple of 14820 and 14838?

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 14820 and 14838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14820 and 14838, than apply into the LCM equation.

GCF(14820,14838) = 6
LCM(14820,14838) = ( 14820 × 14838) / 6
LCM(14820,14838) = 219899160 / 6
LCM(14820,14838) = 36649860

Least Common Multiple (LCM) of 14820 and 14838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14820 and 14838. First we will calculate the prime factors of 14820 and 14838.

Prime Factorization of 14820

Prime Factorization of 14838

Now multiplying the highest exponent prime factors to calculate the LCM of 14820 and 14838.

LCM(14820,14838) = 2² × 3¹ × 5¹ × 13¹ × 19¹ × 2473¹
LCM(14820,14838) = 36649860