What is the Least Common Multiple of 93094 and 93102?
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 93094 and 93102 is 4333618794.
LCM(93094,93102) = 4333618794
Least Common Multiple of 93094 and 93102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93094 and 93102, than apply into the LCM equation.
GCF(93094,93102) = 2
LCM(93094,93102) = ( 93094 × 93102) / 2
LCM(93094,93102) = 8667237588 / 2
LCM(93094,93102) = 4333618794
Least Common Multiple (LCM) of 93094 and 93102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93094 and 93102. First we will calculate the prime factors of 93094 and 93102.
Prime Factorization of 93094
Prime factors of 93094 are 2, 89, 523. Prime factorization of 93094 in exponential form is:
93094 = 21 × 891 × 5231
Prime Factorization of 93102
Prime factors of 93102 are 2, 3, 59, 263. Prime factorization of 93102 in exponential form is:
93102 = 21 × 31 × 591 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 93094 and 93102.
LCM(93094,93102) = 21 × 891 × 5231 × 31 × 591 × 2631
LCM(93094,93102) = 4333618794
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