What is the Least Common Multiple of 85202 and 85222?

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 85202 and 85222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85202 and 85222, than apply into the LCM equation.

GCF(85202,85222) = 2
LCM(85202,85222) = ( 85202 × 85222) / 2
LCM(85202,85222) = 7261084844 / 2
LCM(85202,85222) = 3630542422

Least Common Multiple (LCM) of 85202 and 85222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85202 and 85222. First we will calculate the prime factors of 85202 and 85222.

Prime Factorization of 85202

Prime Factorization of 85222

Now multiplying the highest exponent prime factors to calculate the LCM of 85202 and 85222.

LCM(85202,85222) = 2¹ × 13¹ × 29¹ × 113¹ × 42611¹
LCM(85202,85222) = 3630542422