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What is the Least Common Multiple of 55370 and 55390?

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 55370 and 55390 is 306694430.

LCM(55370,55390) = 306694430

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Least Common Multiple of 55370 and 55390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55370 and 55390, than apply into the LCM equation.

GCF(55370,55390) = 10
LCM(55370,55390) = ( 55370 × 55390) / 10
LCM(55370,55390) = 3066944300 / 10
LCM(55370,55390) = 306694430

Least Common Multiple (LCM) of 55370 and 55390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55370 and 55390. First we will calculate the prime factors of 55370 and 55390.

Prime Factorization of 55370

Prime factors of 55370 are 2, 5, 7, 113. Prime factorization of 55370 in exponential form is:

55370 = 21 × 51 × 72 × 1131

Prime Factorization of 55390

Prime factors of 55390 are 2, 5, 29, 191. Prime factorization of 55390 in exponential form is:

55390 = 21 × 51 × 291 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 55370 and 55390.

LCM(55370,55390) = 21 × 51 × 72 × 1131 × 291 × 1911
LCM(55370,55390) = 306694430