What is the Least Common Multiple of 93246 and 93265?
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 93246 and 93265 is 8696588190.
LCM(93246,93265) = 8696588190
Least Common Multiple of 93246 and 93265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93246 and 93265, than apply into the LCM equation.
GCF(93246,93265) = 1
LCM(93246,93265) = ( 93246 × 93265) / 1
LCM(93246,93265) = 8696588190 / 1
LCM(93246,93265) = 8696588190
Least Common Multiple (LCM) of 93246 and 93265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93246 and 93265. First we will calculate the prime factors of 93246 and 93265.
Prime Factorization of 93246
Prime factors of 93246 are 2, 3, 15541. Prime factorization of 93246 in exponential form is:
93246 = 21 × 31 × 155411
Prime Factorization of 93265
Prime factors of 93265 are 5, 23, 811. Prime factorization of 93265 in exponential form is:
93265 = 51 × 231 × 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 93246 and 93265.
LCM(93246,93265) = 21 × 31 × 155411 × 51 × 231 × 8111
LCM(93246,93265) = 8696588190
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