What is the Least Common Multiple of 92163 and 92176?
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 92163 and 92176 is 8495216688.
LCM(92163,92176) = 8495216688
Least Common Multiple of 92163 and 92176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92163 and 92176, than apply into the LCM equation.
GCF(92163,92176) = 1
LCM(92163,92176) = ( 92163 × 92176) / 1
LCM(92163,92176) = 8495216688 / 1
LCM(92163,92176) = 8495216688
Least Common Multiple (LCM) of 92163 and 92176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92163 and 92176. First we will calculate the prime factors of 92163 and 92176.
Prime Factorization of 92163
Prime factors of 92163 are 3, 31, 991. Prime factorization of 92163 in exponential form is:
92163 = 31 × 311 × 9911
Prime Factorization of 92176
Prime factors of 92176 are 2, 7, 823. Prime factorization of 92176 in exponential form is:
92176 = 24 × 71 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 92163 and 92176.
LCM(92163,92176) = 31 × 311 × 9911 × 24 × 71 × 8231
LCM(92163,92176) = 8495216688
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