What is the Least Common Multiple of 40958 and 40969?

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 40958 and 40969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40958 and 40969, than apply into the LCM equation.

GCF(40958,40969) = 1
LCM(40958,40969) = ( 40958 × 40969) / 1
LCM(40958,40969) = 1678008302 / 1
LCM(40958,40969) = 1678008302

Least Common Multiple (LCM) of 40958 and 40969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40958 and 40969. First we will calculate the prime factors of 40958 and 40969.

Prime Factorization of 40958

Prime Factorization of 40969

Now multiplying the highest exponent prime factors to calculate the LCM of 40958 and 40969.

LCM(40958,40969) = 2¹ × 20479¹ × 53¹ × 773¹
LCM(40958,40969) = 1678008302