What is the Least Common Multiple of 41909 and 41928?

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 41909 and 41928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41909 and 41928, than apply into the LCM equation.

GCF(41909,41928) = 1
LCM(41909,41928) = ( 41909 × 41928) / 1
LCM(41909,41928) = 1757160552 / 1
LCM(41909,41928) = 1757160552

Least Common Multiple (LCM) of 41909 and 41928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41909 and 41928. First we will calculate the prime factors of 41909 and 41928.

Prime Factorization of 41909

Prime Factorization of 41928

Now multiplying the highest exponent prime factors to calculate the LCM of 41909 and 41928.

LCM(41909,41928) = 7¹ × 5987¹ × 2³ × 3¹ × 1747¹
LCM(41909,41928) = 1757160552