What is the Least Common Multiple of 92824 and 92837?
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 92824 and 92837 is 8617501688.
LCM(92824,92837) = 8617501688
Least Common Multiple of 92824 and 92837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92824 and 92837, than apply into the LCM equation.
GCF(92824,92837) = 1
LCM(92824,92837) = ( 92824 × 92837) / 1
LCM(92824,92837) = 8617501688 / 1
LCM(92824,92837) = 8617501688
Least Common Multiple (LCM) of 92824 and 92837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92824 and 92837. First we will calculate the prime factors of 92824 and 92837.
Prime Factorization of 92824
Prime factors of 92824 are 2, 41, 283. Prime factorization of 92824 in exponential form is:
92824 = 23 × 411 × 2831
Prime Factorization of 92837
Prime factors of 92837 are 17, 43, 127. Prime factorization of 92837 in exponential form is:
92837 = 171 × 431 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 92824 and 92837.
LCM(92824,92837) = 23 × 411 × 2831 × 171 × 431 × 1271
LCM(92824,92837) = 8617501688
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