What is the Least Common Multiple of 94444 and 94451?
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 94444 and 94451 is 1274332892.
LCM(94444,94451) = 1274332892
Least Common Multiple of 94444 and 94451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94444 and 94451, than apply into the LCM equation.
GCF(94444,94451) = 7
LCM(94444,94451) = ( 94444 × 94451) / 7
LCM(94444,94451) = 8920330244 / 7
LCM(94444,94451) = 1274332892
Least Common Multiple (LCM) of 94444 and 94451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94444 and 94451. First we will calculate the prime factors of 94444 and 94451.
Prime Factorization of 94444
Prime factors of 94444 are 2, 7, 3373. Prime factorization of 94444 in exponential form is:
94444 = 22 × 71 × 33731
Prime Factorization of 94451
Prime factors of 94451 are 7, 103, 131. Prime factorization of 94451 in exponential form is:
94451 = 71 × 1031 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 94444 and 94451.
LCM(94444,94451) = 22 × 71 × 33731 × 1031 × 1311
LCM(94444,94451) = 1274332892
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