What is the Least Common Multiple of 22495 and 22503?

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 22495 and 22503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22495 and 22503, than apply into the LCM equation.

GCF(22495,22503) = 1
LCM(22495,22503) = ( 22495 × 22503) / 1
LCM(22495,22503) = 506204985 / 1
LCM(22495,22503) = 506204985

Least Common Multiple (LCM) of 22495 and 22503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22495 and 22503. First we will calculate the prime factors of 22495 and 22503.

Prime Factorization of 22495

Prime Factorization of 22503

Now multiplying the highest exponent prime factors to calculate the LCM of 22495 and 22503.

LCM(22495,22503) = 5¹ × 11¹ × 409¹ × 3¹ × 13¹ × 577¹
LCM(22495,22503) = 506204985