What is the Least Common Multiple of 22057 and 22067?

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 22057 and 22067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22057 and 22067, than apply into the LCM equation.

GCF(22057,22067) = 1
LCM(22057,22067) = ( 22057 × 22067) / 1
LCM(22057,22067) = 486731819 / 1
LCM(22057,22067) = 486731819

Least Common Multiple (LCM) of 22057 and 22067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22057 and 22067. First we will calculate the prime factors of 22057 and 22067.

Prime Factorization of 22057

Prime Factorization of 22067

Now multiplying the highest exponent prime factors to calculate the LCM of 22057 and 22067.

LCM(22057,22067) = 7¹ × 23¹ × 137¹ × 22067¹
LCM(22057,22067) = 486731819