What is the Least Common Multiple of 74487 and 74501?

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 74487 and 74501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74487 and 74501, than apply into the LCM equation.

GCF(74487,74501) = 7
LCM(74487,74501) = ( 74487 × 74501) / 7
LCM(74487,74501) = 5549355987 / 7
LCM(74487,74501) = 792765141

Least Common Multiple (LCM) of 74487 and 74501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74487 and 74501. First we will calculate the prime factors of 74487 and 74501.

Prime Factorization of 74487

Prime Factorization of 74501

Now multiplying the highest exponent prime factors to calculate the LCM of 74487 and 74501.

LCM(74487,74501) = 3¹ × 7¹ × 3547¹ × 29¹ × 367¹
LCM(74487,74501) = 792765141