What is the Least Common Multiple of 68000 and 68015?

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 68000 and 68015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68000 and 68015, than apply into the LCM equation.

GCF(68000,68015) = 5
LCM(68000,68015) = ( 68000 × 68015) / 5
LCM(68000,68015) = 4625020000 / 5
LCM(68000,68015) = 925004000

Least Common Multiple (LCM) of 68000 and 68015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68000 and 68015. First we will calculate the prime factors of 68000 and 68015.

Prime Factorization of 68000

Prime Factorization of 68015

Now multiplying the highest exponent prime factors to calculate the LCM of 68000 and 68015.

LCM(68000,68015) = 2⁵ × 5³ × 17¹ × 61¹ × 223¹
LCM(68000,68015) = 925004000