What is the Least Common Multiple of 62875 and 62892?
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 62875 and 62892 is 3954334500.
LCM(62875,62892) = 3954334500
Least Common Multiple of 62875 and 62892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62875 and 62892, than apply into the LCM equation.
GCF(62875,62892) = 1
LCM(62875,62892) = ( 62875 × 62892) / 1
LCM(62875,62892) = 3954334500 / 1
LCM(62875,62892) = 3954334500
Least Common Multiple (LCM) of 62875 and 62892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62875 and 62892. First we will calculate the prime factors of 62875 and 62892.
Prime Factorization of 62875
Prime factors of 62875 are 5, 503. Prime factorization of 62875 in exponential form is:
62875 = 53 × 5031
Prime Factorization of 62892
Prime factors of 62892 are 2, 3, 1747. Prime factorization of 62892 in exponential form is:
62892 = 22 × 32 × 17471
Now multiplying the highest exponent prime factors to calculate the LCM of 62875 and 62892.
LCM(62875,62892) = 53 × 5031 × 22 × 32 × 17471
LCM(62875,62892) = 3954334500
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