What is the Least Common Multiple of 74563 and 74578?

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 74578 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 74578, than apply into the LCM equation.

GCF(74563,74578) = 1
LCM(74563,74578) = ( 74563 × 74578) / 1
LCM(74563,74578) = 5560759414 / 1
LCM(74563,74578) = 5560759414

Least Common Multiple (LCM) of 74563 and 74578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74563 and 74578. First we will calculate the prime factors of 74563 and 74578.

Prime Factorization of 74563

Prime Factorization of 74578

Now multiplying the highest exponent prime factors to calculate the LCM of 74563 and 74578.

LCM(74563,74578) = 173¹ × 431¹ × 2¹ × 7² × 761¹
LCM(74563,74578) = 5560759414