What is the Least Common Multiple of 85070 and 85084?

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 85070 and 85084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85070 and 85084, than apply into the LCM equation.

GCF(85070,85084) = 2
LCM(85070,85084) = ( 85070 × 85084) / 2
LCM(85070,85084) = 7238095880 / 2
LCM(85070,85084) = 3619047940

Least Common Multiple (LCM) of 85070 and 85084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85070 and 85084. First we will calculate the prime factors of 85070 and 85084.

Prime Factorization of 85070

Prime Factorization of 85084

Now multiplying the highest exponent prime factors to calculate the LCM of 85070 and 85084.

LCM(85070,85084) = 2² × 5¹ × 47¹ × 181¹ × 89¹ × 239¹
LCM(85070,85084) = 3619047940