What is the Least Common Multiple of 19072 and 19091?

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 19072 and 19091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19072 and 19091, than apply into the LCM equation.

GCF(19072,19091) = 1
LCM(19072,19091) = ( 19072 × 19091) / 1
LCM(19072,19091) = 364103552 / 1
LCM(19072,19091) = 364103552

Least Common Multiple (LCM) of 19072 and 19091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19072 and 19091. First we will calculate the prime factors of 19072 and 19091.

Prime Factorization of 19072

Prime Factorization of 19091

Now multiplying the highest exponent prime factors to calculate the LCM of 19072 and 19091.

LCM(19072,19091) = 2⁷ × 149¹ × 17¹ × 1123¹
LCM(19072,19091) = 364103552