What is the Least Common Multiple of 40928 and 40945?

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 40928 and 40945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40928 and 40945, than apply into the LCM equation.

GCF(40928,40945) = 1
LCM(40928,40945) = ( 40928 × 40945) / 1
LCM(40928,40945) = 1675796960 / 1
LCM(40928,40945) = 1675796960

Least Common Multiple (LCM) of 40928 and 40945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40928 and 40945. First we will calculate the prime factors of 40928 and 40945.

Prime Factorization of 40928

Prime Factorization of 40945

Now multiplying the highest exponent prime factors to calculate the LCM of 40928 and 40945.

LCM(40928,40945) = 2⁵ × 1279¹ × 5¹ × 19¹ × 431¹
LCM(40928,40945) = 1675796960