What is the Least Common Multiple of 92669 and 92688?
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 92669 and 92688 is 8589304272.
LCM(92669,92688) = 8589304272
Least Common Multiple of 92669 and 92688 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92669 and 92688, than apply into the LCM equation.
GCF(92669,92688) = 1
LCM(92669,92688) = ( 92669 × 92688) / 1
LCM(92669,92688) = 8589304272 / 1
LCM(92669,92688) = 8589304272
Least Common Multiple (LCM) of 92669 and 92688 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92669 and 92688. First we will calculate the prime factors of 92669 and 92688.
Prime Factorization of 92669
Prime factors of 92669 are 92669. Prime factorization of 92669 in exponential form is:
92669 = 926691
Prime Factorization of 92688
Prime factors of 92688 are 2, 3, 1931. Prime factorization of 92688 in exponential form is:
92688 = 24 × 31 × 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 92669 and 92688.
LCM(92669,92688) = 926691 × 24 × 31 × 19311
LCM(92669,92688) = 8589304272
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