What is the Least Common Multiple of 86245 and 86253?

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 86245 and 86253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86245 and 86253, than apply into the LCM equation.

GCF(86245,86253) = 1
LCM(86245,86253) = ( 86245 × 86253) / 1
LCM(86245,86253) = 7438889985 / 1
LCM(86245,86253) = 7438889985

Least Common Multiple (LCM) of 86245 and 86253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86245 and 86253. First we will calculate the prime factors of 86245 and 86253.

Prime Factorization of 86245

Prime Factorization of 86253

Now multiplying the highest exponent prime factors to calculate the LCM of 86245 and 86253.

LCM(86245,86253) = 5¹ × 47¹ × 367¹ × 3¹ × 28751¹
LCM(86245,86253) = 7438889985