What is the Least Common Multiple of 94046 and 94061?
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 94061 is 8846060806.
LCM(94046,94061) = 8846060806
Least Common Multiple of 94046 and 94061 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 94061, than apply into the LCM equation.
GCF(94046,94061) = 1
LCM(94046,94061) = ( 94046 × 94061) / 1
LCM(94046,94061) = 8846060806 / 1
LCM(94046,94061) = 8846060806
Least Common Multiple (LCM) of 94046 and 94061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94046 and 94061. First we will calculate the prime factors of 94046 and 94061.
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 94061
Prime factors of 94061 are 11, 17, 503. Prime factorization of 94061 in exponential form is:
94061 = 111 × 171 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 94046 and 94061.
LCM(94046,94061) = 21 × 591 × 7971 × 111 × 171 × 5031
LCM(94046,94061) = 8846060806
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