What is the Least Common Multiple of 85142 and 85162?

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 85142 and 85162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85142 and 85162, than apply into the LCM equation.

GCF(85142,85162) = 2
LCM(85142,85162) = ( 85142 × 85162) / 2
LCM(85142,85162) = 7250863004 / 2
LCM(85142,85162) = 3625431502

Least Common Multiple (LCM) of 85142 and 85162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85142 and 85162. First we will calculate the prime factors of 85142 and 85162.

Prime Factorization of 85142

Prime Factorization of 85162

Now multiplying the highest exponent prime factors to calculate the LCM of 85142 and 85162.

LCM(85142,85162) = 2¹ × 42571¹ × 7² × 11¹ × 79¹
LCM(85142,85162) = 3625431502