What is the Least Common Multiple of 22154 and 22162?

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 22154 and 22162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22154 and 22162, than apply into the LCM equation.

GCF(22154,22162) = 2
LCM(22154,22162) = ( 22154 × 22162) / 2
LCM(22154,22162) = 490976948 / 2
LCM(22154,22162) = 245488474

Least Common Multiple (LCM) of 22154 and 22162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22154 and 22162. First we will calculate the prime factors of 22154 and 22162.

Prime Factorization of 22154

Prime Factorization of 22162

Now multiplying the highest exponent prime factors to calculate the LCM of 22154 and 22162.

LCM(22154,22162) = 2¹ × 11¹ × 19¹ × 53¹ × 7¹ × 1583¹
LCM(22154,22162) = 245488474