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What is the Least Common Multiple of 13550 and 13555?

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 13550 and 13555 is 36734050.

LCM(13550,13555) = 36734050

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Least Common Multiple of 13550 and 13555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13550 and 13555, than apply into the LCM equation.

GCF(13550,13555) = 5
LCM(13550,13555) = ( 13550 × 13555) / 5
LCM(13550,13555) = 183670250 / 5
LCM(13550,13555) = 36734050

Least Common Multiple (LCM) of 13550 and 13555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13550 and 13555. First we will calculate the prime factors of 13550 and 13555.

Prime Factorization of 13550

Prime factors of 13550 are 2, 5, 271. Prime factorization of 13550 in exponential form is:

13550 = 21 × 52 × 2711

Prime Factorization of 13555

Prime factors of 13555 are 5, 2711. Prime factorization of 13555 in exponential form is:

13555 = 51 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 13550 and 13555.

LCM(13550,13555) = 21 × 52 × 2711 × 27111
LCM(13550,13555) = 36734050