What is the Least Common Multiple of 94103 and 94110?
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 94103 and 94110 is 8856033330.
LCM(94103,94110) = 8856033330
Least Common Multiple of 94103 and 94110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94103 and 94110, than apply into the LCM equation.
GCF(94103,94110) = 1
LCM(94103,94110) = ( 94103 × 94110) / 1
LCM(94103,94110) = 8856033330 / 1
LCM(94103,94110) = 8856033330
Least Common Multiple (LCM) of 94103 and 94110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94103 and 94110. First we will calculate the prime factors of 94103 and 94110.
Prime Factorization of 94103
Prime factors of 94103 are 139, 677. Prime factorization of 94103 in exponential form is:
94103 = 1391 × 6771
Prime Factorization of 94110
Prime factors of 94110 are 2, 3, 5, 3137. Prime factorization of 94110 in exponential form is:
94110 = 21 × 31 × 51 × 31371
Now multiplying the highest exponent prime factors to calculate the LCM of 94103 and 94110.
LCM(94103,94110) = 1391 × 6771 × 21 × 31 × 51 × 31371
LCM(94103,94110) = 8856033330
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