What is the Least Common Multiple of 85234 and 85252?

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 85234 and 85252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85234 and 85252, than apply into the LCM equation.

GCF(85234,85252) = 2
LCM(85234,85252) = ( 85234 × 85252) / 2
LCM(85234,85252) = 7266368968 / 2
LCM(85234,85252) = 3633184484

Least Common Multiple (LCM) of 85234 and 85252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85234 and 85252. First we will calculate the prime factors of 85234 and 85252.

Prime Factorization of 85234

Prime Factorization of 85252

Now multiplying the highest exponent prime factors to calculate the LCM of 85234 and 85252.

LCM(85234,85252) = 2² × 19¹ × 2243¹ × 21313¹
LCM(85234,85252) = 3633184484