What is the Least Common Multiple of 19730 and 19748?

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 19730 and 19748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19730 and 19748, than apply into the LCM equation.

GCF(19730,19748) = 2
LCM(19730,19748) = ( 19730 × 19748) / 2
LCM(19730,19748) = 389628040 / 2
LCM(19730,19748) = 194814020

Least Common Multiple (LCM) of 19730 and 19748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19730 and 19748. First we will calculate the prime factors of 19730 and 19748.

Prime Factorization of 19730

Prime Factorization of 19748

Now multiplying the highest exponent prime factors to calculate the LCM of 19730 and 19748.

LCM(19730,19748) = 2² × 5¹ × 1973¹ × 4937¹
LCM(19730,19748) = 194814020