What is the Least Common Multiple of 85776 and 85793?

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 85776 and 85793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85776 and 85793, than apply into the LCM equation.

GCF(85776,85793) = 1
LCM(85776,85793) = ( 85776 × 85793) / 1
LCM(85776,85793) = 7358980368 / 1
LCM(85776,85793) = 7358980368

Least Common Multiple (LCM) of 85776 and 85793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85776 and 85793. First we will calculate the prime factors of 85776 and 85793.

Prime Factorization of 85776

Prime Factorization of 85793

Now multiplying the highest exponent prime factors to calculate the LCM of 85776 and 85793.

LCM(85776,85793) = 2⁴ × 3¹ × 1787¹ × 85793¹
LCM(85776,85793) = 7358980368