What is the Least Common Multiple of 40944 and 40961?

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 40944 and 40961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40944 and 40961, than apply into the LCM equation.

GCF(40944,40961) = 1
LCM(40944,40961) = ( 40944 × 40961) / 1
LCM(40944,40961) = 1677107184 / 1
LCM(40944,40961) = 1677107184

Least Common Multiple (LCM) of 40944 and 40961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40944 and 40961. First we will calculate the prime factors of 40944 and 40961.

Prime Factorization of 40944

Prime Factorization of 40961

Now multiplying the highest exponent prime factors to calculate the LCM of 40944 and 40961.

LCM(40944,40961) = 2⁴ × 3¹ × 853¹ × 40961¹
LCM(40944,40961) = 1677107184