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What is the Least Common Multiple of 55369 and 55380?

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 (LCM) of 55369 and 55380 is 3066335220.

LCM(55369,55380) = 3066335220

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Least Common Multiple of 55369 and 55380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55369 and 55380, than apply into the LCM equation.

GCF(55369,55380) = 1
LCM(55369,55380) = ( 55369 × 55380) / 1
LCM(55369,55380) = 3066335220 / 1
LCM(55369,55380) = 3066335220

Least Common Multiple (LCM) of 55369 and 55380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55369 and 55380. First we will calculate the prime factors of 55369 and 55380.

Prime Factorization of 55369

Prime factors of 55369 are 17, 3257. Prime factorization of 55369 in exponential form is:

55369 = 171 × 32571

Prime Factorization of 55380

Prime factors of 55380 are 2, 3, 5, 13, 71. Prime factorization of 55380 in exponential form is:

55380 = 22 × 31 × 51 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 55369 and 55380.

LCM(55369,55380) = 171 × 32571 × 22 × 31 × 51 × 131 × 711
LCM(55369,55380) = 3066335220