What is the Least Common Multiple of 62104 and 62112?
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 62104 and 62112 is 482175456.
LCM(62104,62112) = 482175456
Least Common Multiple of 62104 and 62112 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62104 and 62112, than apply into the LCM equation.
GCF(62104,62112) = 8
LCM(62104,62112) = ( 62104 × 62112) / 8
LCM(62104,62112) = 3857403648 / 8
LCM(62104,62112) = 482175456
Least Common Multiple (LCM) of 62104 and 62112 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62104 and 62112. First we will calculate the prime factors of 62104 and 62112.
Prime Factorization of 62104
Prime factors of 62104 are 2, 7, 1109. Prime factorization of 62104 in exponential form is:
62104 = 23 × 71 × 11091
Prime Factorization of 62112
Prime factors of 62112 are 2, 3, 647. Prime factorization of 62112 in exponential form is:
62112 = 25 × 31 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 62104 and 62112.
LCM(62104,62112) = 25 × 71 × 11091 × 31 × 6471
LCM(62104,62112) = 482175456
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