What is the Least Common Multiple of 19472 and 19485?

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 19472 and 19485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19472 and 19485, than apply into the LCM equation.

GCF(19472,19485) = 1
LCM(19472,19485) = ( 19472 × 19485) / 1
LCM(19472,19485) = 379411920 / 1
LCM(19472,19485) = 379411920

Least Common Multiple (LCM) of 19472 and 19485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19472 and 19485. First we will calculate the prime factors of 19472 and 19485.

Prime Factorization of 19472

Prime Factorization of 19485

Now multiplying the highest exponent prime factors to calculate the LCM of 19472 and 19485.

LCM(19472,19485) = 2⁴ × 1217¹ × 3² × 5¹ × 433¹
LCM(19472,19485) = 379411920