What is the Least Common Multiple of 20114 and 20128?

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 20114 and 20128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20114 and 20128, than apply into the LCM equation.

GCF(20114,20128) = 2
LCM(20114,20128) = ( 20114 × 20128) / 2
LCM(20114,20128) = 404854592 / 2
LCM(20114,20128) = 202427296

Least Common Multiple (LCM) of 20114 and 20128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20114 and 20128. First we will calculate the prime factors of 20114 and 20128.

Prime Factorization of 20114

Prime Factorization of 20128

Now multiplying the highest exponent prime factors to calculate the LCM of 20114 and 20128.

LCM(20114,20128) = 2⁵ × 89¹ × 113¹ × 17¹ × 37¹
LCM(20114,20128) = 202427296