What is the Least Common Multiple of 22605 and 22615?

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 22605 and 22615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22605 and 22615, than apply into the LCM equation.

GCF(22605,22615) = 5
LCM(22605,22615) = ( 22605 × 22615) / 5
LCM(22605,22615) = 511212075 / 5
LCM(22605,22615) = 102242415

Least Common Multiple (LCM) of 22605 and 22615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22605 and 22615. First we will calculate the prime factors of 22605 and 22615.

Prime Factorization of 22605

Prime Factorization of 22615

Now multiplying the highest exponent prime factors to calculate the LCM of 22605 and 22615.

LCM(22605,22615) = 3¹ × 5¹ × 11¹ × 137¹ × 4523¹
LCM(22605,22615) = 102242415