What is the Least Common Multiple of 74328 and 74347?

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 74328 and 74347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74328 and 74347, than apply into the LCM equation.

GCF(74328,74347) = 19
LCM(74328,74347) = ( 74328 × 74347) / 19
LCM(74328,74347) = 5526063816 / 19
LCM(74328,74347) = 290845464

Least Common Multiple (LCM) of 74328 and 74347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74328 and 74347. First we will calculate the prime factors of 74328 and 74347.

Prime Factorization of 74328

Prime Factorization of 74347

Now multiplying the highest exponent prime factors to calculate the LCM of 74328 and 74347.

LCM(74328,74347) = 2³ × 3¹ × 19¹ × 163¹ × 7¹ × 13¹ × 43¹
LCM(74328,74347) = 290845464