What is the Least Common Multiple of 94537 and 94556?
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 94537 and 94556 is 8939040572.
LCM(94537,94556) = 8939040572
Least Common Multiple of 94537 and 94556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94537 and 94556, than apply into the LCM equation.
GCF(94537,94556) = 1
LCM(94537,94556) = ( 94537 × 94556) / 1
LCM(94537,94556) = 8939040572 / 1
LCM(94537,94556) = 8939040572
Least Common Multiple (LCM) of 94537 and 94556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94537 and 94556. First we will calculate the prime factors of 94537 and 94556.
Prime Factorization of 94537
Prime factors of 94537 are 17, 67, 83. Prime factorization of 94537 in exponential form is:
94537 = 171 × 671 × 831
Prime Factorization of 94556
Prime factors of 94556 are 2, 7, 11, 307. Prime factorization of 94556 in exponential form is:
94556 = 22 × 71 × 111 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 94537 and 94556.
LCM(94537,94556) = 171 × 671 × 831 × 22 × 71 × 111 × 3071
LCM(94537,94556) = 8939040572
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