What is the Least Common Multiple of 41772 and 41789?

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 41789 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 41789, than apply into the LCM equation.

GCF(41772,41789) = 1
LCM(41772,41789) = ( 41772 × 41789) / 1
LCM(41772,41789) = 1745610108 / 1
LCM(41772,41789) = 1745610108

Least Common Multiple (LCM) of 41772 and 41789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41772 and 41789. First we will calculate the prime factors of 41772 and 41789.

Prime Factorization of 41772

Prime Factorization of 41789

Now multiplying the highest exponent prime factors to calculate the LCM of 41772 and 41789.

LCM(41772,41789) = 2² × 3¹ × 59² × 11¹ × 29¹ × 131¹
LCM(41772,41789) = 1745610108