What is the Least Common Multiple of 68072 and 68076?

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 68072 and 68076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68072 and 68076, than apply into the LCM equation.

GCF(68072,68076) = 4
LCM(68072,68076) = ( 68072 × 68076) / 4
LCM(68072,68076) = 4634069472 / 4
LCM(68072,68076) = 1158517368

Least Common Multiple (LCM) of 68072 and 68076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68072 and 68076. First we will calculate the prime factors of 68072 and 68076.

Prime Factorization of 68072

Prime Factorization of 68076

Now multiplying the highest exponent prime factors to calculate the LCM of 68072 and 68076.

LCM(68072,68076) = 2³ × 67¹ × 127¹ × 3² × 31¹ × 61¹
LCM(68072,68076) = 1158517368