What is the Least Common Multiple of 74321 and 74340?

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 74321 and 74340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74321 and 74340, than apply into the LCM equation.

GCF(74321,74340) = 1
LCM(74321,74340) = ( 74321 × 74340) / 1
LCM(74321,74340) = 5525023140 / 1
LCM(74321,74340) = 5525023140

Least Common Multiple (LCM) of 74321 and 74340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74321 and 74340. First we will calculate the prime factors of 74321 and 74340.

Prime Factorization of 74321

Prime Factorization of 74340

Now multiplying the highest exponent prime factors to calculate the LCM of 74321 and 74340.

LCM(74321,74340) = 13¹ × 5717¹ × 2² × 3² × 5¹ × 7¹ × 59¹
LCM(74321,74340) = 5525023140