What is the Least Common Multiple of 55764 and 55776?

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 55764 and 55776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55764 and 55776, than apply into the LCM equation.

GCF(55764,55776) = 12
LCM(55764,55776) = ( 55764 × 55776) / 12
LCM(55764,55776) = 3110292864 / 12
LCM(55764,55776) = 259191072

Least Common Multiple (LCM) of 55764 and 55776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55764 and 55776. First we will calculate the prime factors of 55764 and 55776.

Prime Factorization of 55764

Prime Factorization of 55776

Now multiplying the highest exponent prime factors to calculate the LCM of 55764 and 55776.

LCM(55764,55776) = 2⁵ × 3² × 1549¹ × 7¹ × 83¹
LCM(55764,55776) = 259191072