What is the Least Common Multiple of 74711 and 74725?

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 74711 and 74725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74711 and 74725, than apply into the LCM equation.

GCF(74711,74725) = 7
LCM(74711,74725) = ( 74711 × 74725) / 7
LCM(74711,74725) = 5582779475 / 7
LCM(74711,74725) = 797539925

Least Common Multiple (LCM) of 74711 and 74725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74711 and 74725. First we will calculate the prime factors of 74711 and 74725.

Prime Factorization of 74711

Prime Factorization of 74725

Now multiplying the highest exponent prime factors to calculate the LCM of 74711 and 74725.

LCM(74711,74725) = 7² × 13¹ × 821¹ × 5² × 61¹
LCM(74711,74725) = 797539925