What is the Least Common Multiple of 19638 and 19649?

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 19638 and 19649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19638 and 19649, than apply into the LCM equation.

GCF(19638,19649) = 1
LCM(19638,19649) = ( 19638 × 19649) / 1
LCM(19638,19649) = 385867062 / 1
LCM(19638,19649) = 385867062

Least Common Multiple (LCM) of 19638 and 19649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19638 and 19649. First we will calculate the prime factors of 19638 and 19649.

Prime Factorization of 19638

Prime Factorization of 19649

Now multiplying the highest exponent prime factors to calculate the LCM of 19638 and 19649.

LCM(19638,19649) = 2¹ × 3² × 1091¹ × 7² × 401¹
LCM(19638,19649) = 385867062