What is the Least Common Multiple of 85153 and 85169?

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 85153 and 85169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85153 and 85169, than apply into the LCM equation.

GCF(85153,85169) = 1
LCM(85153,85169) = ( 85153 × 85169) / 1
LCM(85153,85169) = 7252395857 / 1
LCM(85153,85169) = 7252395857

Least Common Multiple (LCM) of 85153 and 85169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85153 and 85169. First we will calculate the prime factors of 85153 and 85169.

Prime Factorization of 85153

Prime Factorization of 85169

Now multiplying the highest exponent prime factors to calculate the LCM of 85153 and 85169.

LCM(85153,85169) = 17¹ × 5009¹ × 7¹ × 23³
LCM(85153,85169) = 7252395857