What is the Least Common Multiple of 85296 and 85310?

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 85296 and 85310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85296 and 85310, than apply into the LCM equation.

GCF(85296,85310) = 2
LCM(85296,85310) = ( 85296 × 85310) / 2
LCM(85296,85310) = 7276601760 / 2
LCM(85296,85310) = 3638300880

Least Common Multiple (LCM) of 85296 and 85310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85296 and 85310. First we will calculate the prime factors of 85296 and 85310.

Prime Factorization of 85296

Prime Factorization of 85310

Now multiplying the highest exponent prime factors to calculate the LCM of 85296 and 85310.

LCM(85296,85310) = 2⁴ × 3¹ × 1777¹ × 5¹ × 19¹ × 449¹
LCM(85296,85310) = 3638300880