What is the Least Common Multiple of 92430 and 92437?
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 92430 and 92437 is 8543951910.
LCM(92430,92437) = 8543951910
Least Common Multiple of 92430 and 92437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92430 and 92437, than apply into the LCM equation.
GCF(92430,92437) = 1
LCM(92430,92437) = ( 92430 × 92437) / 1
LCM(92430,92437) = 8543951910 / 1
LCM(92430,92437) = 8543951910
Least Common Multiple (LCM) of 92430 and 92437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92430 and 92437. First we will calculate the prime factors of 92430 and 92437.
Prime Factorization of 92430
Prime factors of 92430 are 2, 3, 5, 13, 79. Prime factorization of 92430 in exponential form is:
92430 = 21 × 32 × 51 × 131 × 791
Prime Factorization of 92437
Prime factors of 92437 are 23, 4019. Prime factorization of 92437 in exponential form is:
92437 = 231 × 40191
Now multiplying the highest exponent prime factors to calculate the LCM of 92430 and 92437.
LCM(92430,92437) = 21 × 32 × 51 × 131 × 791 × 231 × 40191
LCM(92430,92437) = 8543951910
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