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What is the Least Common Multiple of 55578 and 55593?

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 55578 and 55593 is 1029915918.

LCM(55578,55593) = 1029915918

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Least Common Multiple of 55578 and 55593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55578 and 55593, than apply into the LCM equation.

GCF(55578,55593) = 3
LCM(55578,55593) = ( 55578 × 55593) / 3
LCM(55578,55593) = 3089747754 / 3
LCM(55578,55593) = 1029915918

Least Common Multiple (LCM) of 55578 and 55593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55578 and 55593. First we will calculate the prime factors of 55578 and 55593.

Prime Factorization of 55578

Prime factors of 55578 are 2, 3, 59, 157. Prime factorization of 55578 in exponential form is:

55578 = 21 × 31 × 591 × 1571

Prime Factorization of 55593

Prime factors of 55593 are 3, 29, 71. Prime factorization of 55593 in exponential form is:

55593 = 33 × 291 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 55578 and 55593.

LCM(55578,55593) = 21 × 33 × 591 × 1571 × 291 × 711
LCM(55578,55593) = 1029915918