What is the Least Common Multiple of 92427 and 92435?
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 92427 and 92435 is 8543489745.
LCM(92427,92435) = 8543489745
Least Common Multiple of 92427 and 92435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92427 and 92435, than apply into the LCM equation.
GCF(92427,92435) = 1
LCM(92427,92435) = ( 92427 × 92435) / 1
LCM(92427,92435) = 8543489745 / 1
LCM(92427,92435) = 8543489745
Least Common Multiple (LCM) of 92427 and 92435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92427 and 92435. First we will calculate the prime factors of 92427 and 92435.
Prime Factorization of 92427
Prime factors of 92427 are 3, 30809. Prime factorization of 92427 in exponential form is:
92427 = 31 × 308091
Prime Factorization of 92435
Prime factors of 92435 are 5, 7, 19, 139. Prime factorization of 92435 in exponential form is:
92435 = 51 × 71 × 191 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 92427 and 92435.
LCM(92427,92435) = 31 × 308091 × 51 × 71 × 191 × 1391
LCM(92427,92435) = 8543489745
Related Least Common Multiples of 92427
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Related Least Common Multiples of 92435
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