What is the Least Common Multiple of 92837 and 92847?
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 92837 and 92847 is 8619636939.
LCM(92837,92847) = 8619636939
Least Common Multiple of 92837 and 92847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92837 and 92847, than apply into the LCM equation.
GCF(92837,92847) = 1
LCM(92837,92847) = ( 92837 × 92847) / 1
LCM(92837,92847) = 8619636939 / 1
LCM(92837,92847) = 8619636939
Least Common Multiple (LCM) of 92837 and 92847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92837 and 92847. First we will calculate the prime factors of 92837 and 92847.
Prime Factorization of 92837
Prime factors of 92837 are 17, 43, 127. Prime factorization of 92837 in exponential form is:
92837 = 171 × 431 × 1271
Prime Factorization of 92847
Prime factors of 92847 are 3, 30949. Prime factorization of 92847 in exponential form is:
92847 = 31 × 309491
Now multiplying the highest exponent prime factors to calculate the LCM of 92837 and 92847.
LCM(92837,92847) = 171 × 431 × 1271 × 31 × 309491
LCM(92837,92847) = 8619636939
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