What is the Least Common Multiple of 74609 and 74625?

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 74609 and 74625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74609 and 74625, than apply into the LCM equation.

GCF(74609,74625) = 1
LCM(74609,74625) = ( 74609 × 74625) / 1
LCM(74609,74625) = 5567696625 / 1
LCM(74609,74625) = 5567696625

Least Common Multiple (LCM) of 74609 and 74625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74609 and 74625. First we will calculate the prime factors of 74609 and 74625.

Prime Factorization of 74609

Prime Factorization of 74625

Now multiplying the highest exponent prime factors to calculate the LCM of 74609 and 74625.

LCM(74609,74625) = 74609¹ × 3¹ × 5³ × 199¹
LCM(74609,74625) = 5567696625