What is the Least Common Multiple of 74563 and 74579?

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 74563 and 74579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74563 and 74579, than apply into the LCM equation.

GCF(74563,74579) = 1
LCM(74563,74579) = ( 74563 × 74579) / 1
LCM(74563,74579) = 5560833977 / 1
LCM(74563,74579) = 5560833977

Least Common Multiple (LCM) of 74563 and 74579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74563 and 74579. First we will calculate the prime factors of 74563 and 74579.

Prime Factorization of 74563

Prime Factorization of 74579

Now multiplying the highest exponent prime factors to calculate the LCM of 74563 and 74579.

LCM(74563,74579) = 173¹ × 431¹ × 17¹ × 41¹ × 107¹
LCM(74563,74579) = 5560833977