What is the Least Common Multiple of 92904 and 92924?
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 92904 and 92924 is 2158252824.
LCM(92904,92924) = 2158252824
Least Common Multiple of 92904 and 92924 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92904 and 92924, than apply into the LCM equation.
GCF(92904,92924) = 4
LCM(92904,92924) = ( 92904 × 92924) / 4
LCM(92904,92924) = 8633011296 / 4
LCM(92904,92924) = 2158252824
Least Common Multiple (LCM) of 92904 and 92924 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92904 and 92924. First we will calculate the prime factors of 92904 and 92924.
Prime Factorization of 92904
Prime factors of 92904 are 2, 3, 7, 79. Prime factorization of 92904 in exponential form is:
92904 = 23 × 31 × 72 × 791
Prime Factorization of 92924
Prime factors of 92924 are 2, 13, 1787. Prime factorization of 92924 in exponential form is:
92924 = 22 × 131 × 17871
Now multiplying the highest exponent prime factors to calculate the LCM of 92904 and 92924.
LCM(92904,92924) = 23 × 31 × 72 × 791 × 131 × 17871
LCM(92904,92924) = 2158252824
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