What is the Least Common Multiple of 92830 and 92842?
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 92842 is 4309261430.
LCM(92830,92842) = 4309261430
Least Common Multiple of 92830 and 92842 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 92842, than apply into the LCM equation.
GCF(92830,92842) = 2
LCM(92830,92842) = ( 92830 × 92842) / 2
LCM(92830,92842) = 8618522860 / 2
LCM(92830,92842) = 4309261430
Least Common Multiple (LCM) of 92830 and 92842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92830 and 92842. First we will calculate the prime factors of 92830 and 92842.
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 92842
Prime factors of 92842 are 2, 61, 761. Prime factorization of 92842 in exponential form is:
92842 = 21 × 611 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 92830 and 92842.
LCM(92830,92842) = 21 × 51 × 92831 × 611 × 7611
LCM(92830,92842) = 4309261430
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