What is the Least Common Multiple of 94334 and 94341?
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 94334 and 94341 is 8899563894.
LCM(94334,94341) = 8899563894
Least Common Multiple of 94334 and 94341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94334 and 94341, than apply into the LCM equation.
GCF(94334,94341) = 1
LCM(94334,94341) = ( 94334 × 94341) / 1
LCM(94334,94341) = 8899563894 / 1
LCM(94334,94341) = 8899563894
Least Common Multiple (LCM) of 94334 and 94341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94334 and 94341. First we will calculate the prime factors of 94334 and 94341.
Prime Factorization of 94334
Prime factors of 94334 are 2, 101, 467. Prime factorization of 94334 in exponential form is:
94334 = 21 × 1011 × 4671
Prime Factorization of 94341
Prime factors of 94341 are 3, 13, 41, 59. Prime factorization of 94341 in exponential form is:
94341 = 31 × 131 × 411 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 94334 and 94341.
LCM(94334,94341) = 21 × 1011 × 4671 × 31 × 131 × 411 × 591
LCM(94334,94341) = 8899563894
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