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What is the Least Common Multiple of 67082 and 67101?

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 67082 and 67101 is 4501269282.

LCM(67082,67101) = 4501269282

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Least Common Multiple of 67082 and 67101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67082 and 67101, than apply into the LCM equation.

GCF(67082,67101) = 1
LCM(67082,67101) = ( 67082 × 67101) / 1
LCM(67082,67101) = 4501269282 / 1
LCM(67082,67101) = 4501269282

Least Common Multiple (LCM) of 67082 and 67101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67082 and 67101. First we will calculate the prime factors of 67082 and 67101.

Prime Factorization of 67082

Prime factors of 67082 are 2, 17, 1973. Prime factorization of 67082 in exponential form is:

67082 = 21 × 171 × 19731

Prime Factorization of 67101

Prime factors of 67101 are 3, 22367. Prime factorization of 67101 in exponential form is:

67101 = 31 × 223671

Now multiplying the highest exponent prime factors to calculate the LCM of 67082 and 67101.

LCM(67082,67101) = 21 × 171 × 19731 × 31 × 223671
LCM(67082,67101) = 4501269282