What is the Least Common Multiple of 68005 and 68024?

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 68005 and 68024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68005 and 68024, than apply into the LCM equation.

GCF(68005,68024) = 1
LCM(68005,68024) = ( 68005 × 68024) / 1
LCM(68005,68024) = 4625972120 / 1
LCM(68005,68024) = 4625972120

Least Common Multiple (LCM) of 68005 and 68024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68005 and 68024. First we will calculate the prime factors of 68005 and 68024.

Prime Factorization of 68005

Prime Factorization of 68024

Now multiplying the highest exponent prime factors to calculate the LCM of 68005 and 68024.

LCM(68005,68024) = 5¹ × 7¹ × 29¹ × 67¹ × 2³ × 11¹ × 773¹
LCM(68005,68024) = 4625972120