What is the Least Common Multiple of 19265 and 19280?

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 19265 and 19280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19265 and 19280, than apply into the LCM equation.

GCF(19265,19280) = 5
LCM(19265,19280) = ( 19265 × 19280) / 5
LCM(19265,19280) = 371429200 / 5
LCM(19265,19280) = 74285840

Least Common Multiple (LCM) of 19265 and 19280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19265 and 19280. First we will calculate the prime factors of 19265 and 19280.

Prime Factorization of 19265

Prime Factorization of 19280

Now multiplying the highest exponent prime factors to calculate the LCM of 19265 and 19280.

LCM(19265,19280) = 5¹ × 3853¹ × 2⁴ × 241¹
LCM(19265,19280) = 74285840