What is the Least Common Multiple of 94665 and 94674?
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 94665 and 94674 is 2987438070.
LCM(94665,94674) = 2987438070
Least Common Multiple of 94665 and 94674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94665 and 94674, than apply into the LCM equation.
GCF(94665,94674) = 3
LCM(94665,94674) = ( 94665 × 94674) / 3
LCM(94665,94674) = 8962314210 / 3
LCM(94665,94674) = 2987438070
Least Common Multiple (LCM) of 94665 and 94674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94665 and 94674. First we will calculate the prime factors of 94665 and 94674.
Prime Factorization of 94665
Prime factors of 94665 are 3, 5, 6311. Prime factorization of 94665 in exponential form is:
94665 = 31 × 51 × 63111
Prime Factorization of 94674
Prime factors of 94674 are 2, 3, 31, 509. Prime factorization of 94674 in exponential form is:
94674 = 21 × 31 × 311 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 94665 and 94674.
LCM(94665,94674) = 31 × 51 × 63111 × 21 × 311 × 5091
LCM(94665,94674) = 2987438070
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