What is the Least Common Multiple of 92458 and 92463?
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 92458 and 92463 is 8548944054.
LCM(92458,92463) = 8548944054
Least Common Multiple of 92458 and 92463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92458 and 92463, than apply into the LCM equation.
GCF(92458,92463) = 1
LCM(92458,92463) = ( 92458 × 92463) / 1
LCM(92458,92463) = 8548944054 / 1
LCM(92458,92463) = 8548944054
Least Common Multiple (LCM) of 92458 and 92463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92458 and 92463. First we will calculate the prime factors of 92458 and 92463.
Prime Factorization of 92458
Prime factors of 92458 are 2, 46229. Prime factorization of 92458 in exponential form is:
92458 = 21 × 462291
Prime Factorization of 92463
Prime factors of 92463 are 3, 7, 17, 37. Prime factorization of 92463 in exponential form is:
92463 = 31 × 72 × 171 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 92458 and 92463.
LCM(92458,92463) = 21 × 462291 × 31 × 72 × 171 × 371
LCM(92458,92463) = 8548944054
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