What is the Least Common Multiple of 22102 and 22114?

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 22102 and 22114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22102 and 22114, than apply into the LCM equation.

GCF(22102,22114) = 2
LCM(22102,22114) = ( 22102 × 22114) / 2
LCM(22102,22114) = 488763628 / 2
LCM(22102,22114) = 244381814

Least Common Multiple (LCM) of 22102 and 22114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22102 and 22114. First we will calculate the prime factors of 22102 and 22114.

Prime Factorization of 22102

Prime Factorization of 22114

Now multiplying the highest exponent prime factors to calculate the LCM of 22102 and 22114.

LCM(22102,22114) = 2¹ × 43¹ × 257¹ × 11057¹
LCM(22102,22114) = 244381814