What is the Least Common Multiple of 74725 and 74743?

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 74725 and 74743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74725 and 74743, than apply into the LCM equation.

GCF(74725,74743) = 1
LCM(74725,74743) = ( 74725 × 74743) / 1
LCM(74725,74743) = 5585170675 / 1
LCM(74725,74743) = 5585170675

Least Common Multiple (LCM) of 74725 and 74743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74725 and 74743. First we will calculate the prime factors of 74725 and 74743.

Prime Factorization of 74725

Prime Factorization of 74743

Now multiplying the highest exponent prime factors to calculate the LCM of 74725 and 74743.

LCM(74725,74743) = 5² × 7² × 61¹ × 41¹ × 1823¹
LCM(74725,74743) = 5585170675