What is the Least Common Multiple of 85760 and 85779?

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 85760 and 85779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85760 and 85779, than apply into the LCM equation.

GCF(85760,85779) = 1
LCM(85760,85779) = ( 85760 × 85779) / 1
LCM(85760,85779) = 7356407040 / 1
LCM(85760,85779) = 7356407040

Least Common Multiple (LCM) of 85760 and 85779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85760 and 85779. First we will calculate the prime factors of 85760 and 85779.

Prime Factorization of 85760

Prime Factorization of 85779

Now multiplying the highest exponent prime factors to calculate the LCM of 85760 and 85779.

LCM(85760,85779) = 2⁸ × 5¹ × 67¹ × 3⁵ × 353¹
LCM(85760,85779) = 7356407040