What is the Least Common Multiple of 19032 and 19048?

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 19048 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 19048, than apply into the LCM equation.

GCF(19032,19048) = 8
LCM(19032,19048) = ( 19032 × 19048) / 8
LCM(19032,19048) = 362521536 / 8
LCM(19032,19048) = 45315192

Least Common Multiple (LCM) of 19032 and 19048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19032 and 19048. First we will calculate the prime factors of 19032 and 19048.

Prime Factorization of 19032

Prime Factorization of 19048

Now multiplying the highest exponent prime factors to calculate the LCM of 19032 and 19048.

LCM(19032,19048) = 2³ × 3¹ × 13¹ × 61¹ × 2381¹
LCM(19032,19048) = 45315192