What is the Least Common Multiple of 57053 and 57063?
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 57053 and 57063 is 3255615339.
LCM(57053,57063) = 3255615339
Least Common Multiple of 57053 and 57063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57053 and 57063, than apply into the LCM equation.
GCF(57053,57063) = 1
LCM(57053,57063) = ( 57053 × 57063) / 1
LCM(57053,57063) = 3255615339 / 1
LCM(57053,57063) = 3255615339
Least Common Multiple (LCM) of 57053 and 57063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57053 and 57063. First we will calculate the prime factors of 57053 and 57063.
Prime Factorization of 57053
Prime factors of 57053 are 59, 967. Prime factorization of 57053 in exponential form is:
57053 = 591 × 9671
Prime Factorization of 57063
Prime factors of 57063 are 3, 23, 827. Prime factorization of 57063 in exponential form is:
57063 = 31 × 231 × 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 57053 and 57063.
LCM(57053,57063) = 591 × 9671 × 31 × 231 × 8271
LCM(57053,57063) = 3255615339
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