What is the Least Common Multiple of 94600 and 94606?
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 94600 and 94606 is 4474863800.
LCM(94600,94606) = 4474863800
Least Common Multiple of 94600 and 94606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94600 and 94606, than apply into the LCM equation.
GCF(94600,94606) = 2
LCM(94600,94606) = ( 94600 × 94606) / 2
LCM(94600,94606) = 8949727600 / 2
LCM(94600,94606) = 4474863800
Least Common Multiple (LCM) of 94600 and 94606 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94600 and 94606. First we will calculate the prime factors of 94600 and 94606.
Prime Factorization of 94600
Prime factors of 94600 are 2, 5, 11, 43. Prime factorization of 94600 in exponential form is:
94600 = 23 × 52 × 111 × 431
Prime Factorization of 94606
Prime factors of 94606 are 2, 47303. Prime factorization of 94606 in exponential form is:
94606 = 21 × 473031
Now multiplying the highest exponent prime factors to calculate the LCM of 94600 and 94606.
LCM(94600,94606) = 23 × 52 × 111 × 431 × 473031
LCM(94600,94606) = 4474863800
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