What is the Least Common Multiple of 55352 and 55363?

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 55352 and 55363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55352 and 55363, than apply into the LCM equation.

GCF(55352,55363) = 11
LCM(55352,55363) = ( 55352 × 55363) / 11
LCM(55352,55363) = 3064452776 / 11
LCM(55352,55363) = 278586616

Least Common Multiple (LCM) of 55352 and 55363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55352 and 55363. First we will calculate the prime factors of 55352 and 55363.

Prime Factorization of 55352

Prime Factorization of 55363

Now multiplying the highest exponent prime factors to calculate the LCM of 55352 and 55363.

LCM(55352,55363) = 2³ × 11¹ × 17¹ × 37¹ × 7¹ × 719¹
LCM(55352,55363) = 278586616