What is the Least Common Multiple of 71449 and 71463?
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 71449 and 71463 is 729422841.
LCM(71449,71463) = 729422841
Least Common Multiple of 71449 and 71463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71449 and 71463, than apply into the LCM equation.
GCF(71449,71463) = 7
LCM(71449,71463) = ( 71449 × 71463) / 7
LCM(71449,71463) = 5105959887 / 7
LCM(71449,71463) = 729422841
Least Common Multiple (LCM) of 71449 and 71463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71449 and 71463. First we will calculate the prime factors of 71449 and 71463.
Prime Factorization of 71449
Prime factors of 71449 are 7, 59, 173. Prime factorization of 71449 in exponential form is:
71449 = 71 × 591 × 1731
Prime Factorization of 71463
Prime factors of 71463 are 3, 7, 41, 83. Prime factorization of 71463 in exponential form is:
71463 = 31 × 71 × 411 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 71449 and 71463.
LCM(71449,71463) = 71 × 591 × 1731 × 31 × 411 × 831
LCM(71449,71463) = 729422841
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