What is the Least Common Multiple of 40968 and 40981?

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 40968 and 40981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40968 and 40981, than apply into the LCM equation.

GCF(40968,40981) = 1
LCM(40968,40981) = ( 40968 × 40981) / 1
LCM(40968,40981) = 1678909608 / 1
LCM(40968,40981) = 1678909608

Least Common Multiple (LCM) of 40968 and 40981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40968 and 40981. First we will calculate the prime factors of 40968 and 40981.

Prime Factorization of 40968

Prime Factorization of 40981

Now multiplying the highest exponent prime factors to calculate the LCM of 40968 and 40981.

LCM(40968,40981) = 2³ × 3² × 569¹ × 107¹ × 383¹
LCM(40968,40981) = 1678909608