What is the Least Common Multiple of 85253 and 85258?

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 85253 and 85258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85253 and 85258, than apply into the LCM equation.

GCF(85253,85258) = 1
LCM(85253,85258) = ( 85253 × 85258) / 1
LCM(85253,85258) = 7268500274 / 1
LCM(85253,85258) = 7268500274

Least Common Multiple (LCM) of 85253 and 85258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85253 and 85258. First we will calculate the prime factors of 85253 and 85258.

Prime Factorization of 85253

Prime Factorization of 85258

Now multiplying the highest exponent prime factors to calculate the LCM of 85253 and 85258.

LCM(85253,85258) = 7¹ × 19¹ × 641¹ × 2¹ × 47¹ × 907¹
LCM(85253,85258) = 7268500274