What is the Least Common Multiple of 19075 and 19092?

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 19075 and 19092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19075 and 19092, than apply into the LCM equation.

GCF(19075,19092) = 1
LCM(19075,19092) = ( 19075 × 19092) / 1
LCM(19075,19092) = 364179900 / 1
LCM(19075,19092) = 364179900

Least Common Multiple (LCM) of 19075 and 19092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19075 and 19092. First we will calculate the prime factors of 19075 and 19092.

Prime Factorization of 19075

Prime Factorization of 19092

Now multiplying the highest exponent prime factors to calculate the LCM of 19075 and 19092.

LCM(19075,19092) = 5² × 7¹ × 109¹ × 2² × 3¹ × 37¹ × 43¹
LCM(19075,19092) = 364179900