What is the Least Common Multiple of 85214 and 85220?

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 85214 and 85220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85214 and 85220, than apply into the LCM equation.

GCF(85214,85220) = 2
LCM(85214,85220) = ( 85214 × 85220) / 2
LCM(85214,85220) = 7261937080 / 2
LCM(85214,85220) = 3630968540

Least Common Multiple (LCM) of 85214 and 85220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85214 and 85220. First we will calculate the prime factors of 85214 and 85220.

Prime Factorization of 85214

Prime Factorization of 85220

Now multiplying the highest exponent prime factors to calculate the LCM of 85214 and 85220.

LCM(85214,85220) = 2² × 137¹ × 311¹ × 5¹ × 4261¹
LCM(85214,85220) = 3630968540