What is the Least Common Multiple of 85764 and 85776?

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 85764 and 85776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85764 and 85776, than apply into the LCM equation.

GCF(85764,85776) = 12
LCM(85764,85776) = ( 85764 × 85776) / 12
LCM(85764,85776) = 7356492864 / 12
LCM(85764,85776) = 613041072

Least Common Multiple (LCM) of 85764 and 85776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85764 and 85776. First we will calculate the prime factors of 85764 and 85776.

Prime Factorization of 85764

Prime Factorization of 85776

Now multiplying the highest exponent prime factors to calculate the LCM of 85764 and 85776.

LCM(85764,85776) = 2⁴ × 3¹ × 7¹ × 1021¹ × 1787¹
LCM(85764,85776) = 613041072