What is the Least Common Multiple of 85252 and 85262?

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 85252 and 85262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85252 and 85262, than apply into the LCM equation.

GCF(85252,85262) = 2
LCM(85252,85262) = ( 85252 × 85262) / 2
LCM(85252,85262) = 7268756024 / 2
LCM(85252,85262) = 3634378012

Least Common Multiple (LCM) of 85252 and 85262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85252 and 85262. First we will calculate the prime factors of 85252 and 85262.

Prime Factorization of 85252

Prime Factorization of 85262

Now multiplying the highest exponent prime factors to calculate the LCM of 85252 and 85262.

LCM(85252,85262) = 2² × 21313¹ × 89¹ × 479¹
LCM(85252,85262) = 3634378012