What is the Least Common Multiple of 94503 and 94522?
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 94503 and 94522 is 8932612566.
LCM(94503,94522) = 8932612566
Least Common Multiple of 94503 and 94522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94503 and 94522, than apply into the LCM equation.
GCF(94503,94522) = 1
LCM(94503,94522) = ( 94503 × 94522) / 1
LCM(94503,94522) = 8932612566 / 1
LCM(94503,94522) = 8932612566
Least Common Multiple (LCM) of 94503 and 94522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94503 and 94522. First we will calculate the prime factors of 94503 and 94522.
Prime Factorization of 94503
Prime factors of 94503 are 3, 17, 109. Prime factorization of 94503 in exponential form is:
94503 = 31 × 172 × 1091
Prime Factorization of 94522
Prime factors of 94522 are 2, 167, 283. Prime factorization of 94522 in exponential form is:
94522 = 21 × 1671 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 94503 and 94522.
LCM(94503,94522) = 31 × 172 × 1091 × 21 × 1671 × 2831
LCM(94503,94522) = 8932612566
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