What is the Least Common Multiple of 19496 and 19509?

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 19496 and 19509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19496 and 19509, than apply into the LCM equation.

GCF(19496,19509) = 1
LCM(19496,19509) = ( 19496 × 19509) / 1
LCM(19496,19509) = 380347464 / 1
LCM(19496,19509) = 380347464

Least Common Multiple (LCM) of 19496 and 19509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19496 and 19509. First we will calculate the prime factors of 19496 and 19509.

Prime Factorization of 19496

Prime Factorization of 19509

Now multiplying the highest exponent prime factors to calculate the LCM of 19496 and 19509.

LCM(19496,19509) = 2³ × 2437¹ × 3¹ × 7¹ × 929¹
LCM(19496,19509) = 380347464