What is the Least Common Multiple of 19290 and 19308?

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 19290 and 19308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19290 and 19308, than apply into the LCM equation.

GCF(19290,19308) = 6
LCM(19290,19308) = ( 19290 × 19308) / 6
LCM(19290,19308) = 372451320 / 6
LCM(19290,19308) = 62075220

Least Common Multiple (LCM) of 19290 and 19308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19290 and 19308. First we will calculate the prime factors of 19290 and 19308.

Prime Factorization of 19290

Prime Factorization of 19308

Now multiplying the highest exponent prime factors to calculate the LCM of 19290 and 19308.

LCM(19290,19308) = 2² × 3¹ × 5¹ × 643¹ × 1609¹
LCM(19290,19308) = 62075220