What is the Least Common Multiple of 94918 and 94929?
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 94918 and 94929 is 9010470822.
LCM(94918,94929) = 9010470822
Least Common Multiple of 94918 and 94929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94918 and 94929, than apply into the LCM equation.
GCF(94918,94929) = 1
LCM(94918,94929) = ( 94918 × 94929) / 1
LCM(94918,94929) = 9010470822 / 1
LCM(94918,94929) = 9010470822
Least Common Multiple (LCM) of 94918 and 94929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94918 and 94929. First we will calculate the prime factors of 94918 and 94929.
Prime Factorization of 94918
Prime factors of 94918 are 2, 47459. Prime factorization of 94918 in exponential form is:
94918 = 21 × 474591
Prime Factorization of 94929
Prime factors of 94929 are 3, 31643. Prime factorization of 94929 in exponential form is:
94929 = 31 × 316431
Now multiplying the highest exponent prime factors to calculate the LCM of 94918 and 94929.
LCM(94918,94929) = 21 × 474591 × 31 × 316431
LCM(94918,94929) = 9010470822
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