What is the Least Common Multiple of 94524 and 94537?
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 94524 and 94537 is 8936015388.
LCM(94524,94537) = 8936015388
Least Common Multiple of 94524 and 94537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94524 and 94537, than apply into the LCM equation.
GCF(94524,94537) = 1
LCM(94524,94537) = ( 94524 × 94537) / 1
LCM(94524,94537) = 8936015388 / 1
LCM(94524,94537) = 8936015388
Least Common Multiple (LCM) of 94524 and 94537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94524 and 94537. First we will calculate the prime factors of 94524 and 94537.
Prime Factorization of 94524
Prime factors of 94524 are 2, 3, 7877. Prime factorization of 94524 in exponential form is:
94524 = 22 × 31 × 78771
Prime Factorization of 94537
Prime factors of 94537 are 17, 67, 83. Prime factorization of 94537 in exponential form is:
94537 = 171 × 671 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 94524 and 94537.
LCM(94524,94537) = 22 × 31 × 78771 × 171 × 671 × 831
LCM(94524,94537) = 8936015388
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