What is the Least Common Multiple of 23282 and 23302?

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 23282 and 23302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23282 and 23302, than apply into the LCM equation.

GCF(23282,23302) = 2
LCM(23282,23302) = ( 23282 × 23302) / 2
LCM(23282,23302) = 542517164 / 2
LCM(23282,23302) = 271258582

Least Common Multiple (LCM) of 23282 and 23302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23282 and 23302. First we will calculate the prime factors of 23282 and 23302.

Prime Factorization of 23282

Prime Factorization of 23302

Now multiplying the highest exponent prime factors to calculate the LCM of 23282 and 23302.

LCM(23282,23302) = 2¹ × 7¹ × 1663¹ × 61¹ × 191¹
LCM(23282,23302) = 271258582