What is the Least Common Multiple of 40945 and 40964?

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 40945 and 40964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40945 and 40964, than apply into the LCM equation.

GCF(40945,40964) = 19
LCM(40945,40964) = ( 40945 × 40964) / 19
LCM(40945,40964) = 1677270980 / 19
LCM(40945,40964) = 88277420

Least Common Multiple (LCM) of 40945 and 40964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40945 and 40964. First we will calculate the prime factors of 40945 and 40964.

Prime Factorization of 40945

Prime Factorization of 40964

Now multiplying the highest exponent prime factors to calculate the LCM of 40945 and 40964.

LCM(40945,40964) = 5¹ × 19¹ × 431¹ × 2² × 7² × 11¹
LCM(40945,40964) = 88277420