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What is the Least Common Multiple of 55090 and 55095?

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 55090 and 55095 is 607036710.

LCM(55090,55095) = 607036710

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Least Common Multiple of 55090 and 55095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55090 and 55095, than apply into the LCM equation.

GCF(55090,55095) = 5
LCM(55090,55095) = ( 55090 × 55095) / 5
LCM(55090,55095) = 3035183550 / 5
LCM(55090,55095) = 607036710

Least Common Multiple (LCM) of 55090 and 55095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55090 and 55095. First we will calculate the prime factors of 55090 and 55095.

Prime Factorization of 55090

Prime factors of 55090 are 2, 5, 7, 787. Prime factorization of 55090 in exponential form is:

55090 = 21 × 51 × 71 × 7871

Prime Factorization of 55095

Prime factors of 55095 are 3, 5, 3673. Prime factorization of 55095 in exponential form is:

55095 = 31 × 51 × 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 55090 and 55095.

LCM(55090,55095) = 21 × 51 × 71 × 7871 × 31 × 36731
LCM(55090,55095) = 607036710