What is the Least Common Multiple of 68112 and 68125?

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 68112 and 68125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68112 and 68125, than apply into the LCM equation.

GCF(68112,68125) = 1
LCM(68112,68125) = ( 68112 × 68125) / 1
LCM(68112,68125) = 4640130000 / 1
LCM(68112,68125) = 4640130000

Least Common Multiple (LCM) of 68112 and 68125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68112 and 68125. First we will calculate the prime factors of 68112 and 68125.

Prime Factorization of 68112

Prime Factorization of 68125

Now multiplying the highest exponent prime factors to calculate the LCM of 68112 and 68125.

LCM(68112,68125) = 2⁴ × 3² × 11¹ × 43¹ × 5⁴ × 109¹
LCM(68112,68125) = 4640130000