What is the Least Common Multiple of 55484 and 55495?

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 55484 and 55495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55484 and 55495, than apply into the LCM equation.

GCF(55484,55495) = 11
LCM(55484,55495) = ( 55484 × 55495) / 11
LCM(55484,55495) = 3079084580 / 11
LCM(55484,55495) = 279916780

Least Common Multiple (LCM) of 55484 and 55495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55484 and 55495. First we will calculate the prime factors of 55484 and 55495.

Prime Factorization of 55484

Prime Factorization of 55495

Now multiplying the highest exponent prime factors to calculate the LCM of 55484 and 55495.

LCM(55484,55495) = 2² × 11¹ × 13¹ × 97¹ × 5¹ × 1009¹
LCM(55484,55495) = 279916780