What is the Least Common Multiple of 22610 and 22617?

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 22610 and 22617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22610 and 22617, than apply into the LCM equation.

GCF(22610,22617) = 7
LCM(22610,22617) = ( 22610 × 22617) / 7
LCM(22610,22617) = 511370370 / 7
LCM(22610,22617) = 73052910

Least Common Multiple (LCM) of 22610 and 22617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22610 and 22617. First we will calculate the prime factors of 22610 and 22617.

Prime Factorization of 22610

Prime Factorization of 22617

Now multiplying the highest exponent prime factors to calculate the LCM of 22610 and 22617.

LCM(22610,22617) = 2¹ × 5¹ × 7¹ × 17¹ × 19¹ × 3² × 359¹
LCM(22610,22617) = 73052910