What is the Least Common Multiple of 94522 and 94542?
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 94522 and 94542 is 4468149462.
LCM(94522,94542) = 4468149462
Least Common Multiple of 94522 and 94542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94522 and 94542, than apply into the LCM equation.
GCF(94522,94542) = 2
LCM(94522,94542) = ( 94522 × 94542) / 2
LCM(94522,94542) = 8936298924 / 2
LCM(94522,94542) = 4468149462
Least Common Multiple (LCM) of 94522 and 94542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94522 and 94542. First we will calculate the prime factors of 94522 and 94542.
Prime Factorization of 94522
Prime factors of 94522 are 2, 167, 283. Prime factorization of 94522 in exponential form is:
94522 = 21 × 1671 × 2831
Prime Factorization of 94542
Prime factors of 94542 are 2, 3, 7, 2251. Prime factorization of 94542 in exponential form is:
94542 = 21 × 31 × 71 × 22511
Now multiplying the highest exponent prime factors to calculate the LCM of 94522 and 94542.
LCM(94522,94542) = 21 × 1671 × 2831 × 31 × 71 × 22511
LCM(94522,94542) = 4468149462
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