What is the Least Common Multiple of 68008 and 68020?

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 68008 and 68020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68008 and 68020, than apply into the LCM equation.

GCF(68008,68020) = 4
LCM(68008,68020) = ( 68008 × 68020) / 4
LCM(68008,68020) = 4625904160 / 4
LCM(68008,68020) = 1156476040

Least Common Multiple (LCM) of 68008 and 68020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68008 and 68020. First we will calculate the prime factors of 68008 and 68020.

Prime Factorization of 68008

Prime Factorization of 68020

Now multiplying the highest exponent prime factors to calculate the LCM of 68008 and 68020.

LCM(68008,68020) = 2³ × 8501¹ × 5¹ × 19¹ × 179¹
LCM(68008,68020) = 1156476040