What is the Least Common Multiple of 52533 and 52545?
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 52533 and 52545 is 920115495.
LCM(52533,52545) = 920115495
Least Common Multiple of 52533 and 52545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52533 and 52545, than apply into the LCM equation.
GCF(52533,52545) = 3
LCM(52533,52545) = ( 52533 × 52545) / 3
LCM(52533,52545) = 2760346485 / 3
LCM(52533,52545) = 920115495
Least Common Multiple (LCM) of 52533 and 52545 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52533 and 52545. First we will calculate the prime factors of 52533 and 52545.
Prime Factorization of 52533
Prime factors of 52533 are 3, 13, 449. Prime factorization of 52533 in exponential form is:
52533 = 32 × 131 × 4491
Prime Factorization of 52545
Prime factors of 52545 are 3, 5, 31, 113. Prime factorization of 52545 in exponential form is:
52545 = 31 × 51 × 311 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 52533 and 52545.
LCM(52533,52545) = 32 × 131 × 4491 × 51 × 311 × 1131
LCM(52533,52545) = 920115495
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