What is the Least Common Multiple of 19248 and 19260?

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 19248 and 19260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19248 and 19260, than apply into the LCM equation.

GCF(19248,19260) = 12
LCM(19248,19260) = ( 19248 × 19260) / 12
LCM(19248,19260) = 370716480 / 12
LCM(19248,19260) = 30893040

Least Common Multiple (LCM) of 19248 and 19260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19248 and 19260. First we will calculate the prime factors of 19248 and 19260.

Prime Factorization of 19248

Prime Factorization of 19260

Now multiplying the highest exponent prime factors to calculate the LCM of 19248 and 19260.

LCM(19248,19260) = 2⁴ × 3² × 401¹ × 5¹ × 107¹
LCM(19248,19260) = 30893040