What is the Least Common Multiple of 85225 and 85244?

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 85225 and 85244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85225 and 85244, than apply into the LCM equation.

GCF(85225,85244) = 1
LCM(85225,85244) = ( 85225 × 85244) / 1
LCM(85225,85244) = 7264919900 / 1
LCM(85225,85244) = 7264919900

Least Common Multiple (LCM) of 85225 and 85244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85225 and 85244. First we will calculate the prime factors of 85225 and 85244.

Prime Factorization of 85225

Prime Factorization of 85244

Now multiplying the highest exponent prime factors to calculate the LCM of 85225 and 85244.

LCM(85225,85244) = 5² × 7¹ × 487¹ × 2² × 101¹ × 211¹
LCM(85225,85244) = 7264919900