What is the Least Common Multiple of 94660 and 94673?
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 94660 and 94673 is 8961746180.
LCM(94660,94673) = 8961746180
Least Common Multiple of 94660 and 94673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94660 and 94673, than apply into the LCM equation.
GCF(94660,94673) = 1
LCM(94660,94673) = ( 94660 × 94673) / 1
LCM(94660,94673) = 8961746180 / 1
LCM(94660,94673) = 8961746180
Least Common Multiple (LCM) of 94660 and 94673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94660 and 94673. First we will calculate the prime factors of 94660 and 94673.
Prime Factorization of 94660
Prime factors of 94660 are 2, 5, 4733. Prime factorization of 94660 in exponential form is:
94660 = 22 × 51 × 47331
Prime Factorization of 94673
Prime factors of 94673 are 17, 5569. Prime factorization of 94673 in exponential form is:
94673 = 171 × 55691
Now multiplying the highest exponent prime factors to calculate the LCM of 94660 and 94673.
LCM(94660,94673) = 22 × 51 × 47331 × 171 × 55691
LCM(94660,94673) = 8961746180
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