What is the Least Common Multiple of 96759 and 96777?

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 96759 and 96777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96759 and 96777, than apply into the LCM equation.

GCF(96759,96777) = 9
LCM(96759,96777) = ( 96759 × 96777) / 9
LCM(96759,96777) = 9364045743 / 9
LCM(96759,96777) = 1040449527

Least Common Multiple (LCM) of 96759 and 96777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96759 and 96777. First we will calculate the prime factors of 96759 and 96777.

Prime Factorization of 96759

Prime Factorization of 96777

Now multiplying the highest exponent prime factors to calculate the LCM of 96759 and 96777.

LCM(96759,96777) = 3² × 13¹ × 827¹ × 10753¹
LCM(96759,96777) = 1040449527