What is the Least Common Multiple of 19422 and 19432?

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 19422 and 19432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19422 and 19432, than apply into the LCM equation.

GCF(19422,19432) = 2
LCM(19422,19432) = ( 19422 × 19432) / 2
LCM(19422,19432) = 377408304 / 2
LCM(19422,19432) = 188704152

Least Common Multiple (LCM) of 19422 and 19432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19422 and 19432. First we will calculate the prime factors of 19422 and 19432.

Prime Factorization of 19422

Prime Factorization of 19432

Now multiplying the highest exponent prime factors to calculate the LCM of 19422 and 19432.

LCM(19422,19432) = 2³ × 3² × 13¹ × 83¹ × 7¹ × 347¹
LCM(19422,19432) = 188704152