What is the Least Common Multiple of 19430 and 19446?

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 19430 and 19446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19430 and 19446, than apply into the LCM equation.

GCF(19430,19446) = 2
LCM(19430,19446) = ( 19430 × 19446) / 2
LCM(19430,19446) = 377835780 / 2
LCM(19430,19446) = 188917890

Least Common Multiple (LCM) of 19430 and 19446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19430 and 19446. First we will calculate the prime factors of 19430 and 19446.

Prime Factorization of 19430

Prime Factorization of 19446

Now multiplying the highest exponent prime factors to calculate the LCM of 19430 and 19446.

LCM(19430,19446) = 2¹ × 5¹ × 29¹ × 67¹ × 3¹ × 7¹ × 463¹
LCM(19430,19446) = 188917890