What is the Least Common Multiple of 19076 and 19083?

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 19076 and 19083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19076 and 19083, than apply into the LCM equation.

GCF(19076,19083) = 1
LCM(19076,19083) = ( 19076 × 19083) / 1
LCM(19076,19083) = 364027308 / 1
LCM(19076,19083) = 364027308

Least Common Multiple (LCM) of 19076 and 19083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19076 and 19083. First we will calculate the prime factors of 19076 and 19083.

Prime Factorization of 19076

Prime Factorization of 19083

Now multiplying the highest exponent prime factors to calculate the LCM of 19076 and 19083.

LCM(19076,19083) = 2² × 19¹ × 251¹ × 3¹ × 6361¹
LCM(19076,19083) = 364027308