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What is the Least Common Multiple of 67462 and 67473?

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 67462 and 67473 is 4551863526.

LCM(67462,67473) = 4551863526

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Least Common Multiple of 67462 and 67473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67462 and 67473, than apply into the LCM equation.

GCF(67462,67473) = 1
LCM(67462,67473) = ( 67462 × 67473) / 1
LCM(67462,67473) = 4551863526 / 1
LCM(67462,67473) = 4551863526

Least Common Multiple (LCM) of 67462 and 67473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67462 and 67473. First we will calculate the prime factors of 67462 and 67473.

Prime Factorization of 67462

Prime factors of 67462 are 2, 89, 379. Prime factorization of 67462 in exponential form is:

67462 = 21 × 891 × 3791

Prime Factorization of 67473

Prime factors of 67473 are 3, 7, 17. Prime factorization of 67473 in exponential form is:

67473 = 34 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 67462 and 67473.

LCM(67462,67473) = 21 × 891 × 3791 × 34 × 72 × 171
LCM(67462,67473) = 4551863526