What is the Least Common Multiple of 94981 and 94995?
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 94981 and 94995 is 9022720095.
LCM(94981,94995) = 9022720095
Least Common Multiple of 94981 and 94995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94981 and 94995, than apply into the LCM equation.
GCF(94981,94995) = 1
LCM(94981,94995) = ( 94981 × 94995) / 1
LCM(94981,94995) = 9022720095 / 1
LCM(94981,94995) = 9022720095
Least Common Multiple (LCM) of 94981 and 94995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94981 and 94995. First we will calculate the prime factors of 94981 and 94995.
Prime Factorization of 94981
Prime factors of 94981 are 19, 4999. Prime factorization of 94981 in exponential form is:
94981 = 191 × 49991
Prime Factorization of 94995
Prime factors of 94995 are 3, 5, 2111. Prime factorization of 94995 in exponential form is:
94995 = 32 × 51 × 21111
Now multiplying the highest exponent prime factors to calculate the LCM of 94981 and 94995.
LCM(94981,94995) = 191 × 49991 × 32 × 51 × 21111
LCM(94981,94995) = 9022720095
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