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What is the Least Common Multiple of 67122 and 67141?

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 67122 and 67141 is 4506638202.

LCM(67122,67141) = 4506638202

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Least Common Multiple of 67122 and 67141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67122 and 67141, than apply into the LCM equation.

GCF(67122,67141) = 1
LCM(67122,67141) = ( 67122 × 67141) / 1
LCM(67122,67141) = 4506638202 / 1
LCM(67122,67141) = 4506638202

Least Common Multiple (LCM) of 67122 and 67141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67122 and 67141. First we will calculate the prime factors of 67122 and 67141.

Prime Factorization of 67122

Prime factors of 67122 are 2, 3, 11, 113. Prime factorization of 67122 in exponential form is:

67122 = 21 × 33 × 111 × 1131

Prime Factorization of 67141

Prime factors of 67141 are 67141. Prime factorization of 67141 in exponential form is:

67141 = 671411

Now multiplying the highest exponent prime factors to calculate the LCM of 67122 and 67141.

LCM(67122,67141) = 21 × 33 × 111 × 1131 × 671411
LCM(67122,67141) = 4506638202