What is the Least Common Multiple of 55482 and 55496?

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 55482 and 55496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55482 and 55496, than apply into the LCM equation.

GCF(55482,55496) = 14
LCM(55482,55496) = ( 55482 × 55496) / 14
LCM(55482,55496) = 3079029072 / 14
LCM(55482,55496) = 219930648

Least Common Multiple (LCM) of 55482 and 55496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55482 and 55496. First we will calculate the prime factors of 55482 and 55496.

Prime Factorization of 55482

Prime Factorization of 55496

Now multiplying the highest exponent prime factors to calculate the LCM of 55482 and 55496.

LCM(55482,55496) = 2³ × 3¹ × 7¹ × 1321¹ × 991¹
LCM(55482,55496) = 219930648