What is the Least Common Multiple of 93196 and 93207?
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 93196 and 93207 is 8686519572.
LCM(93196,93207) = 8686519572
Least Common Multiple of 93196 and 93207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93196 and 93207, than apply into the LCM equation.
GCF(93196,93207) = 1
LCM(93196,93207) = ( 93196 × 93207) / 1
LCM(93196,93207) = 8686519572 / 1
LCM(93196,93207) = 8686519572
Least Common Multiple (LCM) of 93196 and 93207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93196 and 93207. First we will calculate the prime factors of 93196 and 93207.
Prime Factorization of 93196
Prime factors of 93196 are 2, 23, 1013. Prime factorization of 93196 in exponential form is:
93196 = 22 × 231 × 10131
Prime Factorization of 93207
Prime factors of 93207 are 3, 31069. Prime factorization of 93207 in exponential form is:
93207 = 31 × 310691
Now multiplying the highest exponent prime factors to calculate the LCM of 93196 and 93207.
LCM(93196,93207) = 22 × 231 × 10131 × 31 × 310691
LCM(93196,93207) = 8686519572
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