What is the Least Common Multiple of 41928 and 41936?

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 41928 and 41936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41928 and 41936, than apply into the LCM equation.

GCF(41928,41936) = 8
LCM(41928,41936) = ( 41928 × 41936) / 8
LCM(41928,41936) = 1758292608 / 8
LCM(41928,41936) = 219786576

Least Common Multiple (LCM) of 41928 and 41936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41928 and 41936. First we will calculate the prime factors of 41928 and 41936.

Prime Factorization of 41928

Prime Factorization of 41936

Now multiplying the highest exponent prime factors to calculate the LCM of 41928 and 41936.

LCM(41928,41936) = 2⁴ × 3¹ × 1747¹ × 2621¹
LCM(41928,41936) = 219786576