What is the Least Common Multiple of 53007 and 53018?
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 53007 and 53018 is 2810325126.
LCM(53007,53018) = 2810325126
Least Common Multiple of 53007 and 53018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53007 and 53018, than apply into the LCM equation.
GCF(53007,53018) = 1
LCM(53007,53018) = ( 53007 × 53018) / 1
LCM(53007,53018) = 2810325126 / 1
LCM(53007,53018) = 2810325126
Least Common Multiple (LCM) of 53007 and 53018 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53007 and 53018. First we will calculate the prime factors of 53007 and 53018.
Prime Factorization of 53007
Prime factors of 53007 are 3, 17669. Prime factorization of 53007 in exponential form is:
53007 = 31 × 176691
Prime Factorization of 53018
Prime factors of 53018 are 2, 7, 541. Prime factorization of 53018 in exponential form is:
53018 = 21 × 72 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 53007 and 53018.
LCM(53007,53018) = 31 × 176691 × 21 × 72 × 5411
LCM(53007,53018) = 2810325126
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