What is the Least Common Multiple of 85062 and 85076?

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 85062 and 85076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85062 and 85076, than apply into the LCM equation.

GCF(85062,85076) = 2
LCM(85062,85076) = ( 85062 × 85076) / 2
LCM(85062,85076) = 7236734712 / 2
LCM(85062,85076) = 3618367356

Least Common Multiple (LCM) of 85062 and 85076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85062 and 85076. First we will calculate the prime factors of 85062 and 85076.

Prime Factorization of 85062

Prime Factorization of 85076

Now multiplying the highest exponent prime factors to calculate the LCM of 85062 and 85076.

LCM(85062,85076) = 2² × 3¹ × 14177¹ × 21269¹
LCM(85062,85076) = 3618367356