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What is the Least Common Multiple of 67122 and 67132?

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 67132 is 2253017052.

LCM(67122,67132) = 2253017052

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Least Common Multiple of 67122 and 67132 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 67132, than apply into the LCM equation.

GCF(67122,67132) = 2
LCM(67122,67132) = ( 67122 × 67132) / 2
LCM(67122,67132) = 4506034104 / 2
LCM(67122,67132) = 2253017052

Least Common Multiple (LCM) of 67122 and 67132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67122 and 67132. First we will calculate the prime factors of 67122 and 67132.

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 67132

Prime factors of 67132 are 2, 13, 1291. Prime factorization of 67132 in exponential form is:

67132 = 22 × 131 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 67122 and 67132.

LCM(67122,67132) = 22 × 33 × 111 × 1131 × 131 × 12911
LCM(67122,67132) = 2253017052