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What is the Least Common Multiple of 67041 and 67061?

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 67041 and 67061 is 4495836501.

LCM(67041,67061) = 4495836501

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Least Common Multiple of 67041 and 67061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67041 and 67061, than apply into the LCM equation.

GCF(67041,67061) = 1
LCM(67041,67061) = ( 67041 × 67061) / 1
LCM(67041,67061) = 4495836501 / 1
LCM(67041,67061) = 4495836501

Least Common Multiple (LCM) of 67041 and 67061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67041 and 67061. First we will calculate the prime factors of 67041 and 67061.

Prime Factorization of 67041

Prime factors of 67041 are 3, 13, 191. Prime factorization of 67041 in exponential form is:

67041 = 33 × 131 × 1911

Prime Factorization of 67061

Prime factors of 67061 are 67061. Prime factorization of 67061 in exponential form is:

67061 = 670611

Now multiplying the highest exponent prime factors to calculate the LCM of 67041 and 67061.

LCM(67041,67061) = 33 × 131 × 1911 × 670611
LCM(67041,67061) = 4495836501