What is the Least Common Multiple of 74284 and 74298?

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 74284 and 74298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74284 and 74298, than apply into the LCM equation.

GCF(74284,74298) = 14
LCM(74284,74298) = ( 74284 × 74298) / 14
LCM(74284,74298) = 5519152632 / 14
LCM(74284,74298) = 394225188

Least Common Multiple (LCM) of 74284 and 74298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74284 and 74298. First we will calculate the prime factors of 74284 and 74298.

Prime Factorization of 74284

Prime Factorization of 74298

Now multiplying the highest exponent prime factors to calculate the LCM of 74284 and 74298.

LCM(74284,74298) = 2² × 7² × 379¹ × 3¹ × 29¹ × 61¹
LCM(74284,74298) = 394225188