What is the Least Common Multiple of 68020 and 68039?

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 68020 and 68039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68020 and 68039, than apply into the LCM equation.

GCF(68020,68039) = 19
LCM(68020,68039) = ( 68020 × 68039) / 19
LCM(68020,68039) = 4628012780 / 19
LCM(68020,68039) = 243579620

Least Common Multiple (LCM) of 68020 and 68039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68020 and 68039. First we will calculate the prime factors of 68020 and 68039.

Prime Factorization of 68020

Prime Factorization of 68039

Now multiplying the highest exponent prime factors to calculate the LCM of 68020 and 68039.

LCM(68020,68039) = 2² × 5¹ × 19¹ × 179¹ × 3581¹
LCM(68020,68039) = 243579620