What is the Least Common Multiple of 85215 and 85228?

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 85215 and 85228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85215 and 85228, than apply into the LCM equation.

GCF(85215,85228) = 13
LCM(85215,85228) = ( 85215 × 85228) / 13
LCM(85215,85228) = 7262704020 / 13
LCM(85215,85228) = 558669540

Least Common Multiple (LCM) of 85215 and 85228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85215 and 85228. First we will calculate the prime factors of 85215 and 85228.

Prime Factorization of 85215

Prime Factorization of 85228

Now multiplying the highest exponent prime factors to calculate the LCM of 85215 and 85228.

LCM(85215,85228) = 3¹ × 5¹ × 13¹ × 19¹ × 23¹ × 2² × 11¹ × 149¹
LCM(85215,85228) = 558669540