What is the Least Common Multiple of 35538 and 35544?
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 35538 and 35544 is 210527112.
LCM(35538,35544) = 210527112
Least Common Multiple of 35538 and 35544 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35538 and 35544, than apply into the LCM equation.
GCF(35538,35544) = 6
LCM(35538,35544) = ( 35538 × 35544) / 6
LCM(35538,35544) = 1263162672 / 6
LCM(35538,35544) = 210527112
Least Common Multiple (LCM) of 35538 and 35544 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35538 and 35544. First we will calculate the prime factors of 35538 and 35544.
Prime Factorization of 35538
Prime factors of 35538 are 2, 3, 5923. Prime factorization of 35538 in exponential form is:
35538 = 21 × 31 × 59231
Prime Factorization of 35544
Prime factors of 35544 are 2, 3, 1481. Prime factorization of 35544 in exponential form is:
35544 = 23 × 31 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 35538 and 35544.
LCM(35538,35544) = 23 × 31 × 59231 × 14811
LCM(35538,35544) = 210527112
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