What is the Least Common Multiple of 19470 and 19490?

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 19470 and 19490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19470 and 19490, than apply into the LCM equation.

GCF(19470,19490) = 10
LCM(19470,19490) = ( 19470 × 19490) / 10
LCM(19470,19490) = 379470300 / 10
LCM(19470,19490) = 37947030

Least Common Multiple (LCM) of 19470 and 19490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19470 and 19490. First we will calculate the prime factors of 19470 and 19490.

Prime Factorization of 19470

Prime Factorization of 19490

Now multiplying the highest exponent prime factors to calculate the LCM of 19470 and 19490.

LCM(19470,19490) = 2¹ × 3¹ × 5¹ × 11¹ × 59¹ × 1949¹
LCM(19470,19490) = 37947030