What is the Least Common Multiple of 22249 and 22253?

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 22249 and 22253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22249 and 22253, than apply into the LCM equation.

GCF(22249,22253) = 1
LCM(22249,22253) = ( 22249 × 22253) / 1
LCM(22249,22253) = 495106997 / 1
LCM(22249,22253) = 495106997

Least Common Multiple (LCM) of 22249 and 22253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22249 and 22253. First we will calculate the prime factors of 22249 and 22253.

Prime Factorization of 22249

Prime Factorization of 22253

Now multiplying the highest exponent prime factors to calculate the LCM of 22249 and 22253.

LCM(22249,22253) = 19¹ × 1171¹ × 7¹ × 11¹ × 17²
LCM(22249,22253) = 495106997