What is the Least Common Multiple of 55345 and 55364?

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 55345 and 55364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55345 and 55364, than apply into the LCM equation.

GCF(55345,55364) = 1
LCM(55345,55364) = ( 55345 × 55364) / 1
LCM(55345,55364) = 3064120580 / 1
LCM(55345,55364) = 3064120580

Least Common Multiple (LCM) of 55345 and 55364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55345 and 55364. First we will calculate the prime factors of 55345 and 55364.

Prime Factorization of 55345

Prime Factorization of 55364

Now multiplying the highest exponent prime factors to calculate the LCM of 55345 and 55364.

LCM(55345,55364) = 5¹ × 11069¹ × 2² × 13841¹
LCM(55345,55364) = 3064120580