What is the Least Common Multiple of 94322 and 94330?
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 94322 and 94330 is 4448697130.
LCM(94322,94330) = 4448697130
Least Common Multiple of 94322 and 94330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94322 and 94330, than apply into the LCM equation.
GCF(94322,94330) = 2
LCM(94322,94330) = ( 94322 × 94330) / 2
LCM(94322,94330) = 8897394260 / 2
LCM(94322,94330) = 4448697130
Least Common Multiple (LCM) of 94322 and 94330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94322 and 94330. First we will calculate the prime factors of 94322 and 94330.
Prime Factorization of 94322
Prime factors of 94322 are 2, 47161. Prime factorization of 94322 in exponential form is:
94322 = 21 × 471611
Prime Factorization of 94330
Prime factors of 94330 are 2, 5, 9433. Prime factorization of 94330 in exponential form is:
94330 = 21 × 51 × 94331
Now multiplying the highest exponent prime factors to calculate the LCM of 94322 and 94330.
LCM(94322,94330) = 21 × 471611 × 51 × 94331
LCM(94322,94330) = 4448697130
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