What is the Least Common Multiple of 41758 and 41773?

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 41758 and 41773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41758 and 41773, than apply into the LCM equation.

GCF(41758,41773) = 1
LCM(41758,41773) = ( 41758 × 41773) / 1
LCM(41758,41773) = 1744356934 / 1
LCM(41758,41773) = 1744356934

Least Common Multiple (LCM) of 41758 and 41773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41758 and 41773. First we will calculate the prime factors of 41758 and 41773.

Prime Factorization of 41758

Prime Factorization of 41773

Now multiplying the highest exponent prime factors to calculate the LCM of 41758 and 41773.

LCM(41758,41773) = 2¹ × 20879¹ × 37¹ × 1129¹
LCM(41758,41773) = 1744356934