What is the Least Common Multiple of 62447 and 62454?
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 62447 and 62454 is 557152134.
LCM(62447,62454) = 557152134
Least Common Multiple of 62447 and 62454 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62447 and 62454, than apply into the LCM equation.
GCF(62447,62454) = 7
LCM(62447,62454) = ( 62447 × 62454) / 7
LCM(62447,62454) = 3900064938 / 7
LCM(62447,62454) = 557152134
Least Common Multiple (LCM) of 62447 and 62454 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62447 and 62454. First we will calculate the prime factors of 62447 and 62454.
Prime Factorization of 62447
Prime factors of 62447 are 7, 11, 811. Prime factorization of 62447 in exponential form is:
62447 = 71 × 111 × 8111
Prime Factorization of 62454
Prime factors of 62454 are 2, 3, 7, 1487. Prime factorization of 62454 in exponential form is:
62454 = 21 × 31 × 71 × 14871
Now multiplying the highest exponent prime factors to calculate the LCM of 62447 and 62454.
LCM(62447,62454) = 71 × 111 × 8111 × 21 × 31 × 14871
LCM(62447,62454) = 557152134
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