What is the Least Common Multiple of 68024 and 68041?

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 68024 and 68041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68024 and 68041, than apply into the LCM equation.

GCF(68024,68041) = 1
LCM(68024,68041) = ( 68024 × 68041) / 1
LCM(68024,68041) = 4628420984 / 1
LCM(68024,68041) = 4628420984

Least Common Multiple (LCM) of 68024 and 68041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68024 and 68041. First we will calculate the prime factors of 68024 and 68041.

Prime Factorization of 68024

Prime Factorization of 68041

Now multiplying the highest exponent prime factors to calculate the LCM of 68024 and 68041.

LCM(68024,68041) = 2³ × 11¹ × 773¹ × 68041¹
LCM(68024,68041) = 4628420984