What is the Least Common Multiple of 19032 and 19040?

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 19032 and 19040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19032 and 19040, than apply into the LCM equation.

GCF(19032,19040) = 8
LCM(19032,19040) = ( 19032 × 19040) / 8
LCM(19032,19040) = 362369280 / 8
LCM(19032,19040) = 45296160

Least Common Multiple (LCM) of 19032 and 19040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19032 and 19040. First we will calculate the prime factors of 19032 and 19040.

Prime Factorization of 19032

Prime Factorization of 19040

Now multiplying the highest exponent prime factors to calculate the LCM of 19032 and 19040.

LCM(19032,19040) = 2⁵ × 3¹ × 13¹ × 61¹ × 5¹ × 7¹ × 17¹
LCM(19032,19040) = 45296160