What is the Least Common Multiple of 68020 and 68027?

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 68027 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 68027, than apply into the LCM equation.

GCF(68020,68027) = 1
LCM(68020,68027) = ( 68020 × 68027) / 1
LCM(68020,68027) = 4627196540 / 1
LCM(68020,68027) = 4627196540

Least Common Multiple (LCM) of 68020 and 68027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68020 and 68027. First we will calculate the prime factors of 68020 and 68027.

Prime Factorization of 68020

Prime Factorization of 68027

Now multiplying the highest exponent prime factors to calculate the LCM of 68020 and 68027.

LCM(68020,68027) = 2² × 5¹ × 19¹ × 179¹ × 59¹ × 1153¹
LCM(68020,68027) = 4627196540