What is the Least Common Multiple of 94036 and 94054?
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 94036 and 94054 is 4422230972.
LCM(94036,94054) = 4422230972
Least Common Multiple of 94036 and 94054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94036 and 94054, than apply into the LCM equation.
GCF(94036,94054) = 2
LCM(94036,94054) = ( 94036 × 94054) / 2
LCM(94036,94054) = 8844461944 / 2
LCM(94036,94054) = 4422230972
Least Common Multiple (LCM) of 94036 and 94054 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94036 and 94054. First we will calculate the prime factors of 94036 and 94054.
Prime Factorization of 94036
Prime factors of 94036 are 2, 23509. Prime factorization of 94036 in exponential form is:
94036 = 22 × 235091
Prime Factorization of 94054
Prime factors of 94054 are 2, 31, 37, 41. Prime factorization of 94054 in exponential form is:
94054 = 21 × 311 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 94036 and 94054.
LCM(94036,94054) = 22 × 235091 × 311 × 371 × 411
LCM(94036,94054) = 4422230972
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