What is the Least Common Multiple of 92465 and 92474?
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 92465 and 92474 is 8550608410.
LCM(92465,92474) = 8550608410
Least Common Multiple of 92465 and 92474 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92465 and 92474, than apply into the LCM equation.
GCF(92465,92474) = 1
LCM(92465,92474) = ( 92465 × 92474) / 1
LCM(92465,92474) = 8550608410 / 1
LCM(92465,92474) = 8550608410
Least Common Multiple (LCM) of 92465 and 92474 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92465 and 92474. First we will calculate the prime factors of 92465 and 92474.
Prime Factorization of 92465
Prime factors of 92465 are 5, 18493. Prime factorization of 92465 in exponential form is:
92465 = 51 × 184931
Prime Factorization of 92474
Prime factors of 92474 are 2, 46237. Prime factorization of 92474 in exponential form is:
92474 = 21 × 462371
Now multiplying the highest exponent prime factors to calculate the LCM of 92465 and 92474.
LCM(92465,92474) = 51 × 184931 × 21 × 462371
LCM(92465,92474) = 8550608410
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