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What is the Least Common Multiple of 67461 and 67474?

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 67461 and 67474 is 4551863514.

LCM(67461,67474) = 4551863514

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Least Common Multiple of 67461 and 67474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67461 and 67474, than apply into the LCM equation.

GCF(67461,67474) = 1
LCM(67461,67474) = ( 67461 × 67474) / 1
LCM(67461,67474) = 4551863514 / 1
LCM(67461,67474) = 4551863514

Least Common Multiple (LCM) of 67461 and 67474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67461 and 67474. First we will calculate the prime factors of 67461 and 67474.

Prime Factorization of 67461

Prime factors of 67461 are 3, 113, 199. Prime factorization of 67461 in exponential form is:

67461 = 31 × 1131 × 1991

Prime Factorization of 67474

Prime factors of 67474 are 2, 11, 3067. Prime factorization of 67474 in exponential form is:

67474 = 21 × 111 × 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 67461 and 67474.

LCM(67461,67474) = 31 × 1131 × 1991 × 21 × 111 × 30671
LCM(67461,67474) = 4551863514