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What is the Least Common Multiple of 67081 and 67092?

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 67081 and 67092 is 4500598452.

LCM(67081,67092) = 4500598452

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Least Common Multiple of 67081 and 67092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67081 and 67092, than apply into the LCM equation.

GCF(67081,67092) = 1
LCM(67081,67092) = ( 67081 × 67092) / 1
LCM(67081,67092) = 4500598452 / 1
LCM(67081,67092) = 4500598452

Least Common Multiple (LCM) of 67081 and 67092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67081 and 67092. First we will calculate the prime factors of 67081 and 67092.

Prime Factorization of 67081

Prime factors of 67081 are 7, 37. Prime factorization of 67081 in exponential form is:

67081 = 72 × 372

Prime Factorization of 67092

Prime factors of 67092 are 2, 3, 5591. Prime factorization of 67092 in exponential form is:

67092 = 22 × 31 × 55911

Now multiplying the highest exponent prime factors to calculate the LCM of 67081 and 67092.

LCM(67081,67092) = 72 × 372 × 22 × 31 × 55911
LCM(67081,67092) = 4500598452