What is the Least Common Multiple of 16525 and 16539?
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 16525 and 16539 is 273306975.
LCM(16525,16539) = 273306975
Least Common Multiple of 16525 and 16539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16525 and 16539, than apply into the LCM equation.
GCF(16525,16539) = 1
LCM(16525,16539) = ( 16525 × 16539) / 1
LCM(16525,16539) = 273306975 / 1
LCM(16525,16539) = 273306975
Least Common Multiple (LCM) of 16525 and 16539 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16525 and 16539. First we will calculate the prime factors of 16525 and 16539.
Prime Factorization of 16525
Prime factors of 16525 are 5, 661. Prime factorization of 16525 in exponential form is:
16525 = 52 × 6611
Prime Factorization of 16539
Prime factors of 16539 are 3, 37, 149. Prime factorization of 16539 in exponential form is:
16539 = 31 × 371 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 16525 and 16539.
LCM(16525,16539) = 52 × 6611 × 31 × 371 × 1491
LCM(16525,16539) = 273306975
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