What is the Least Common Multiple of 94921 and 94931?
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 94921 and 94931 is 9010945451.
LCM(94921,94931) = 9010945451
Least Common Multiple of 94921 and 94931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94921 and 94931, than apply into the LCM equation.
GCF(94921,94931) = 1
LCM(94921,94931) = ( 94921 × 94931) / 1
LCM(94921,94931) = 9010945451 / 1
LCM(94921,94931) = 9010945451
Least Common Multiple (LCM) of 94921 and 94931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94921 and 94931. First we will calculate the prime factors of 94921 and 94931.
Prime Factorization of 94921
Prime factors of 94921 are 23, 4127. Prime factorization of 94921 in exponential form is:
94921 = 231 × 41271
Prime Factorization of 94931
Prime factors of 94931 are 59, 1609. Prime factorization of 94931 in exponential form is:
94931 = 591 × 16091
Now multiplying the highest exponent prime factors to calculate the LCM of 94921 and 94931.
LCM(94921,94931) = 231 × 41271 × 591 × 16091
LCM(94921,94931) = 9010945451
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