What is the Least Common Multiple of 16100 and 16114?

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 16100 and 16114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16100 and 16114, than apply into the LCM equation.

GCF(16100,16114) = 14
LCM(16100,16114) = ( 16100 × 16114) / 14
LCM(16100,16114) = 259435400 / 14
LCM(16100,16114) = 18531100

Least Common Multiple (LCM) of 16100 and 16114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16100 and 16114. First we will calculate the prime factors of 16100 and 16114.

Prime Factorization of 16100

Prime Factorization of 16114

Now multiplying the highest exponent prime factors to calculate the LCM of 16100 and 16114.

LCM(16100,16114) = 2² × 5² × 7¹ × 23¹ × 1151¹
LCM(16100,16114) = 18531100