What is the Least Common Multiple of 85220 and 85238?

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 85220 and 85238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85220 and 85238, than apply into the LCM equation.

GCF(85220,85238) = 2
LCM(85220,85238) = ( 85220 × 85238) / 2
LCM(85220,85238) = 7263982360 / 2
LCM(85220,85238) = 3631991180

Least Common Multiple (LCM) of 85220 and 85238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85220 and 85238. First we will calculate the prime factors of 85220 and 85238.

Prime Factorization of 85220

Prime Factorization of 85238

Now multiplying the highest exponent prime factors to calculate the LCM of 85220 and 85238.

LCM(85220,85238) = 2² × 5¹ × 4261¹ × 17¹ × 23¹ × 109¹
LCM(85220,85238) = 3631991180