What is the Least Common Multiple of 68100 and 68112?

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 68100 and 68112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68100 and 68112, than apply into the LCM equation.

GCF(68100,68112) = 12
LCM(68100,68112) = ( 68100 × 68112) / 12
LCM(68100,68112) = 4638427200 / 12
LCM(68100,68112) = 386535600

Least Common Multiple (LCM) of 68100 and 68112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68100 and 68112. First we will calculate the prime factors of 68100 and 68112.

Prime Factorization of 68100

Prime Factorization of 68112

Now multiplying the highest exponent prime factors to calculate the LCM of 68100 and 68112.

LCM(68100,68112) = 2⁴ × 3² × 5² × 227¹ × 11¹ × 43¹
LCM(68100,68112) = 386535600