What is the Least Common Multiple of 27532 and 27549?
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 27532 and 27549 is 758479068.
LCM(27532,27549) = 758479068
Least Common Multiple of 27532 and 27549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27532 and 27549, than apply into the LCM equation.
GCF(27532,27549) = 1
LCM(27532,27549) = ( 27532 × 27549) / 1
LCM(27532,27549) = 758479068 / 1
LCM(27532,27549) = 758479068
Least Common Multiple (LCM) of 27532 and 27549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27532 and 27549. First we will calculate the prime factors of 27532 and 27549.
Prime Factorization of 27532
Prime factors of 27532 are 2, 6883. Prime factorization of 27532 in exponential form is:
27532 = 22 × 68831
Prime Factorization of 27549
Prime factors of 27549 are 3, 3061. Prime factorization of 27549 in exponential form is:
27549 = 32 × 30611
Now multiplying the highest exponent prime factors to calculate the LCM of 27532 and 27549.
LCM(27532,27549) = 22 × 68831 × 32 × 30611
LCM(27532,27549) = 758479068
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