What is the Least Common Multiple of 92830 and 92846?
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 92830 and 92846 is 4309447090.
LCM(92830,92846) = 4309447090
Least Common Multiple of 92830 and 92846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92830 and 92846, than apply into the LCM equation.
GCF(92830,92846) = 2
LCM(92830,92846) = ( 92830 × 92846) / 2
LCM(92830,92846) = 8618894180 / 2
LCM(92830,92846) = 4309447090
Least Common Multiple (LCM) of 92830 and 92846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92830 and 92846. First we will calculate the prime factors of 92830 and 92846.
Prime Factorization of 92830
Prime factors of 92830 are 2, 5, 9283. Prime factorization of 92830 in exponential form is:
92830 = 21 × 51 × 92831
Prime Factorization of 92846
Prime factors of 92846 are 2, 13, 3571. Prime factorization of 92846 in exponential form is:
92846 = 21 × 131 × 35711
Now multiplying the highest exponent prime factors to calculate the LCM of 92830 and 92846.
LCM(92830,92846) = 21 × 51 × 92831 × 131 × 35711
LCM(92830,92846) = 4309447090
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