What is the Least Common Multiple of 92812 and 92824?
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 92812 and 92824 is 2153795272.
LCM(92812,92824) = 2153795272
Least Common Multiple of 92812 and 92824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92812 and 92824, than apply into the LCM equation.
GCF(92812,92824) = 4
LCM(92812,92824) = ( 92812 × 92824) / 4
LCM(92812,92824) = 8615181088 / 4
LCM(92812,92824) = 2153795272
Least Common Multiple (LCM) of 92812 and 92824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92812 and 92824. First we will calculate the prime factors of 92812 and 92824.
Prime Factorization of 92812
Prime factors of 92812 are 2, 23203. Prime factorization of 92812 in exponential form is:
92812 = 22 × 232031
Prime Factorization of 92824
Prime factors of 92824 are 2, 41, 283. Prime factorization of 92824 in exponential form is:
92824 = 23 × 411 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 92812 and 92824.
LCM(92812,92824) = 23 × 232031 × 411 × 2831
LCM(92812,92824) = 2153795272
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