GCF and LCM Calculator Logo

What is the Least Common Multiple of 73447 and 73462?

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 73447 and 73462 is 5395563514.

LCM(73447,73462) = 5395563514

LCM Calculator and
and

Least Common Multiple of 73447 and 73462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73447 and 73462, than apply into the LCM equation.

GCF(73447,73462) = 1
LCM(73447,73462) = ( 73447 × 73462) / 1
LCM(73447,73462) = 5395563514 / 1
LCM(73447,73462) = 5395563514

Least Common Multiple (LCM) of 73447 and 73462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73447 and 73462. First we will calculate the prime factors of 73447 and 73462.

Prime Factorization of 73447

Prime factors of 73447 are 11, 607. Prime factorization of 73447 in exponential form is:

73447 = 112 × 6071

Prime Factorization of 73462

Prime factors of 73462 are 2, 23, 1597. Prime factorization of 73462 in exponential form is:

73462 = 21 × 231 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 73447 and 73462.

LCM(73447,73462) = 112 × 6071 × 21 × 231 × 15971
LCM(73447,73462) = 5395563514