What is the Least Common Multiple of 5463 and 5475?
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 5463 and 5475 is 9969975.
LCM(5463,5475) = 9969975
Least Common Multiple of 5463 and 5475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5463 and 5475, than apply into the LCM equation.
GCF(5463,5475) = 3
LCM(5463,5475) = ( 5463 × 5475) / 3
LCM(5463,5475) = 29909925 / 3
LCM(5463,5475) = 9969975
Least Common Multiple (LCM) of 5463 and 5475 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5463 and 5475. First we will calculate the prime factors of 5463 and 5475.
Prime Factorization of 5463
Prime factors of 5463 are 3, 607. Prime factorization of 5463 in exponential form is:
5463 = 32 × 6071
Prime Factorization of 5475
Prime factors of 5475 are 3, 5, 73. Prime factorization of 5475 in exponential form is:
5475 = 31 × 52 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 5463 and 5475.
LCM(5463,5475) = 32 × 6071 × 52 × 731
LCM(5463,5475) = 9969975
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