What is the Least Common Multiple of 74864 and 74883?

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 74864 and 74883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74864 and 74883, than apply into the LCM equation.

GCF(74864,74883) = 1
LCM(74864,74883) = ( 74864 × 74883) / 1
LCM(74864,74883) = 5606040912 / 1
LCM(74864,74883) = 5606040912

Least Common Multiple (LCM) of 74864 and 74883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74864 and 74883. First we will calculate the prime factors of 74864 and 74883.

Prime Factorization of 74864

Prime Factorization of 74883

Now multiplying the highest exponent prime factors to calculate the LCM of 74864 and 74883.

LCM(74864,74883) = 2⁴ × 4679¹ × 3¹ × 109¹ × 229¹
LCM(74864,74883) = 5606040912