What is the Least Common Multiple of 94931 and 94939?
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 94931 and 94939 is 9012654209.
LCM(94931,94939) = 9012654209
Least Common Multiple of 94931 and 94939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94931 and 94939, than apply into the LCM equation.
GCF(94931,94939) = 1
LCM(94931,94939) = ( 94931 × 94939) / 1
LCM(94931,94939) = 9012654209 / 1
LCM(94931,94939) = 9012654209
Least Common Multiple (LCM) of 94931 and 94939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94931 and 94939. First we will calculate the prime factors of 94931 and 94939.
Prime Factorization of 94931
Prime factors of 94931 are 59, 1609. Prime factorization of 94931 in exponential form is:
94931 = 591 × 16091
Prime Factorization of 94939
Prime factors of 94939 are 13, 67, 109. Prime factorization of 94939 in exponential form is:
94939 = 131 × 671 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 94931 and 94939.
LCM(94931,94939) = 591 × 16091 × 131 × 671 × 1091
LCM(94931,94939) = 9012654209
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