What is the Least Common Multiple of 41772 and 41781?

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 41772 and 41781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41772 and 41781, than apply into the LCM equation.

GCF(41772,41781) = 3
LCM(41772,41781) = ( 41772 × 41781) / 3
LCM(41772,41781) = 1745275932 / 3
LCM(41772,41781) = 581758644

Least Common Multiple (LCM) of 41772 and 41781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41772 and 41781. First we will calculate the prime factors of 41772 and 41781.

Prime Factorization of 41772

Prime Factorization of 41781

Now multiplying the highest exponent prime factors to calculate the LCM of 41772 and 41781.

LCM(41772,41781) = 2² × 3¹ × 59² × 19¹ × 733¹
LCM(41772,41781) = 581758644