What is the Least Common Multiple of 74883 and 74903?

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 74883 and 74903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74883 and 74903, than apply into the LCM equation.

GCF(74883,74903) = 1
LCM(74883,74903) = ( 74883 × 74903) / 1
LCM(74883,74903) = 5608961349 / 1
LCM(74883,74903) = 5608961349

Least Common Multiple (LCM) of 74883 and 74903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74883 and 74903. First we will calculate the prime factors of 74883 and 74903.

Prime Factorization of 74883

Prime Factorization of 74903

Now multiplying the highest exponent prime factors to calculate the LCM of 74883 and 74903.

LCM(74883,74903) = 3¹ × 109¹ × 229¹ × 74903¹
LCM(74883,74903) = 5608961349