What is the Least Common Multiple of 93102 and 93110?
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 93102 and 93110 is 4334363610.
LCM(93102,93110) = 4334363610
Least Common Multiple of 93102 and 93110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93102 and 93110, than apply into the LCM equation.
GCF(93102,93110) = 2
LCM(93102,93110) = ( 93102 × 93110) / 2
LCM(93102,93110) = 8668727220 / 2
LCM(93102,93110) = 4334363610
Least Common Multiple (LCM) of 93102 and 93110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93102 and 93110. First we will calculate the prime factors of 93102 and 93110.
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
Prime Factorization of 93110
Prime factors of 93110 are 2, 5, 9311. Prime factorization of 93110 in exponential form is:
93110 = 21 × 51 × 93111
Now multiplying the highest exponent prime factors to calculate the LCM of 93102 and 93110.
LCM(93102,93110) = 21 × 31 × 591 × 2631 × 51 × 93111
LCM(93102,93110) = 4334363610
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