What is the Least Common Multiple of 74319 and 74328?

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 74319 and 74328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74319 and 74328, than apply into the LCM equation.

GCF(74319,74328) = 3
LCM(74319,74328) = ( 74319 × 74328) / 3
LCM(74319,74328) = 5523982632 / 3
LCM(74319,74328) = 1841327544

Least Common Multiple (LCM) of 74319 and 74328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74319 and 74328. First we will calculate the prime factors of 74319 and 74328.

Prime Factorization of 74319

Prime Factorization of 74328

Now multiplying the highest exponent prime factors to calculate the LCM of 74319 and 74328.

LCM(74319,74328) = 3¹ × 7¹ × 3539¹ × 2³ × 19¹ × 163¹
LCM(74319,74328) = 1841327544