What is the Least Common Multiple of 85072 and 85090?

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 85072 and 85090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85072 and 85090, than apply into the LCM equation.

GCF(85072,85090) = 2
LCM(85072,85090) = ( 85072 × 85090) / 2
LCM(85072,85090) = 7238776480 / 2
LCM(85072,85090) = 3619388240

Least Common Multiple (LCM) of 85072 and 85090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85072 and 85090. First we will calculate the prime factors of 85072 and 85090.

Prime Factorization of 85072

Prime Factorization of 85090

Now multiplying the highest exponent prime factors to calculate the LCM of 85072 and 85090.

LCM(85072,85090) = 2⁴ × 13¹ × 409¹ × 5¹ × 67¹ × 127¹
LCM(85072,85090) = 3619388240