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What is the Least Common Multiple of 42127 and 42147?

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 42127 and 42147 is 1775526669.

LCM(42127,42147) = 1775526669

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Least Common Multiple of 42127 and 42147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42127 and 42147, than apply into the LCM equation.

GCF(42127,42147) = 1
LCM(42127,42147) = ( 42127 × 42147) / 1
LCM(42127,42147) = 1775526669 / 1
LCM(42127,42147) = 1775526669

Least Common Multiple (LCM) of 42127 and 42147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42127 and 42147. First we will calculate the prime factors of 42127 and 42147.

Prime Factorization of 42127

Prime factors of 42127 are 103, 409. Prime factorization of 42127 in exponential form is:

42127 = 1031 × 4091

Prime Factorization of 42147

Prime factors of 42147 are 3, 7, 223. Prime factorization of 42147 in exponential form is:

42147 = 33 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 42127 and 42147.

LCM(42127,42147) = 1031 × 4091 × 33 × 71 × 2231
LCM(42127,42147) = 1775526669