What is the Least Common Multiple of 8532 and 8544?
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 8532 and 8544 is 6074784.
LCM(8532,8544) = 6074784
Least Common Multiple of 8532 and 8544 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8532 and 8544, than apply into the LCM equation.
GCF(8532,8544) = 12
LCM(8532,8544) = ( 8532 × 8544) / 12
LCM(8532,8544) = 72897408 / 12
LCM(8532,8544) = 6074784
Least Common Multiple (LCM) of 8532 and 8544 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8532 and 8544. First we will calculate the prime factors of 8532 and 8544.
Prime Factorization of 8532
Prime factors of 8532 are 2, 3, 79. Prime factorization of 8532 in exponential form is:
8532 = 22 × 33 × 791
Prime Factorization of 8544
Prime factors of 8544 are 2, 3, 89. Prime factorization of 8544 in exponential form is:
8544 = 25 × 31 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 8532 and 8544.
LCM(8532,8544) = 25 × 33 × 791 × 891
LCM(8532,8544) = 6074784
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