What is the Least Common Multiple of 87528 and 87537?
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 87528 and 87537 is 2553979512.
LCM(87528,87537) = 2553979512
Least Common Multiple of 87528 and 87537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87528 and 87537, than apply into the LCM equation.
GCF(87528,87537) = 3
LCM(87528,87537) = ( 87528 × 87537) / 3
LCM(87528,87537) = 7661938536 / 3
LCM(87528,87537) = 2553979512
Least Common Multiple (LCM) of 87528 and 87537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87528 and 87537. First we will calculate the prime factors of 87528 and 87537.
Prime Factorization of 87528
Prime factors of 87528 are 2, 3, 7, 521. Prime factorization of 87528 in exponential form is:
87528 = 23 × 31 × 71 × 5211
Prime Factorization of 87537
Prime factors of 87537 are 3, 29179. Prime factorization of 87537 in exponential form is:
87537 = 31 × 291791
Now multiplying the highest exponent prime factors to calculate the LCM of 87528 and 87537.
LCM(87528,87537) = 23 × 31 × 71 × 5211 × 291791
LCM(87528,87537) = 2553979512
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