What is the Least Common Multiple of 18100 and 18112?

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 18100 and 18112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18100 and 18112, than apply into the LCM equation.

GCF(18100,18112) = 4
LCM(18100,18112) = ( 18100 × 18112) / 4
LCM(18100,18112) = 327827200 / 4
LCM(18100,18112) = 81956800

Least Common Multiple (LCM) of 18100 and 18112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18100 and 18112. First we will calculate the prime factors of 18100 and 18112.

Prime Factorization of 18100

Prime Factorization of 18112

Now multiplying the highest exponent prime factors to calculate the LCM of 18100 and 18112.

LCM(18100,18112) = 2⁶ × 5² × 181¹ × 283¹
LCM(18100,18112) = 81956800