What is the Least Common Multiple of 93504 and 93512?
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 93504 and 93512 is 1092968256.
LCM(93504,93512) = 1092968256
Least Common Multiple of 93504 and 93512 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93504 and 93512, than apply into the LCM equation.
GCF(93504,93512) = 8
LCM(93504,93512) = ( 93504 × 93512) / 8
LCM(93504,93512) = 8743746048 / 8
LCM(93504,93512) = 1092968256
Least Common Multiple (LCM) of 93504 and 93512 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93504 and 93512. First we will calculate the prime factors of 93504 and 93512.
Prime Factorization of 93504
Prime factors of 93504 are 2, 3, 487. Prime factorization of 93504 in exponential form is:
93504 = 26 × 31 × 4871
Prime Factorization of 93512
Prime factors of 93512 are 2, 11689. Prime factorization of 93512 in exponential form is:
93512 = 23 × 116891
Now multiplying the highest exponent prime factors to calculate the LCM of 93504 and 93512.
LCM(93504,93512) = 26 × 31 × 4871 × 116891
LCM(93504,93512) = 1092968256
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