What is the Least Common Multiple of 19292 and 19304?

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 19292 and 19304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19292 and 19304, than apply into the LCM equation.

GCF(19292,19304) = 4
LCM(19292,19304) = ( 19292 × 19304) / 4
LCM(19292,19304) = 372412768 / 4
LCM(19292,19304) = 93103192

Least Common Multiple (LCM) of 19292 and 19304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19292 and 19304. First we will calculate the prime factors of 19292 and 19304.

Prime Factorization of 19292

Prime Factorization of 19304

Now multiplying the highest exponent prime factors to calculate the LCM of 19292 and 19304.

LCM(19292,19304) = 2³ × 7¹ × 13¹ × 53¹ × 19¹ × 127¹
LCM(19292,19304) = 93103192