What is the Least Common Multiple of 83258 and 83272?

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 83258 and 83272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83258 and 83272, than apply into the LCM equation.

GCF(83258,83272) = 14
LCM(83258,83272) = ( 83258 × 83272) / 14
LCM(83258,83272) = 6933060176 / 14
LCM(83258,83272) = 495218584

Least Common Multiple (LCM) of 83258 and 83272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83258 and 83272. First we will calculate the prime factors of 83258 and 83272.

Prime Factorization of 83258

Prime Factorization of 83272

Now multiplying the highest exponent prime factors to calculate the LCM of 83258 and 83272.

LCM(83258,83272) = 2³ × 7¹ × 19¹ × 313¹ × 1487¹
LCM(83258,83272) = 495218584