What is the Least Common Multiple of 94046 and 94053?
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 94046 and 94053 is 8845308438.
LCM(94046,94053) = 8845308438
Least Common Multiple of 94046 and 94053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94046 and 94053, than apply into the LCM equation.
GCF(94046,94053) = 1
LCM(94046,94053) = ( 94046 × 94053) / 1
LCM(94046,94053) = 8845308438 / 1
LCM(94046,94053) = 8845308438
Least Common Multiple (LCM) of 94046 and 94053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94046 and 94053. First we will calculate the prime factors of 94046 and 94053.
Prime Factorization of 94046
Prime factors of 94046 are 2, 59, 797. Prime factorization of 94046 in exponential form is:
94046 = 21 × 591 × 7971
Prime Factorization of 94053
Prime factors of 94053 are 3, 107, 293. Prime factorization of 94053 in exponential form is:
94053 = 31 × 1071 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 94046 and 94053.
LCM(94046,94053) = 21 × 591 × 7971 × 31 × 1071 × 2931
LCM(94046,94053) = 8845308438
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