What is the Least Common Multiple of 85256 and 85260?

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 85256 and 85260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85256 and 85260, than apply into the LCM equation.

GCF(85256,85260) = 4
LCM(85256,85260) = ( 85256 × 85260) / 4
LCM(85256,85260) = 7268926560 / 4
LCM(85256,85260) = 1817231640

Least Common Multiple (LCM) of 85256 and 85260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85256 and 85260. First we will calculate the prime factors of 85256 and 85260.

Prime Factorization of 85256

Prime Factorization of 85260

Now multiplying the highest exponent prime factors to calculate the LCM of 85256 and 85260.

LCM(85256,85260) = 2³ × 10657¹ × 3¹ × 5¹ × 7² × 29¹
LCM(85256,85260) = 1817231640