What is the Least Common Multiple of 94718 and 94736?
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 94718 and 94736 is 4486602224.
LCM(94718,94736) = 4486602224
Least Common Multiple of 94718 and 94736 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94718 and 94736, than apply into the LCM equation.
GCF(94718,94736) = 2
LCM(94718,94736) = ( 94718 × 94736) / 2
LCM(94718,94736) = 8973204448 / 2
LCM(94718,94736) = 4486602224
Least Common Multiple (LCM) of 94718 and 94736 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94718 and 94736. First we will calculate the prime factors of 94718 and 94736.
Prime Factorization of 94718
Prime factors of 94718 are 2, 13, 3643. Prime factorization of 94718 in exponential form is:
94718 = 21 × 131 × 36431
Prime Factorization of 94736
Prime factors of 94736 are 2, 31, 191. Prime factorization of 94736 in exponential form is:
94736 = 24 × 311 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 94718 and 94736.
LCM(94718,94736) = 24 × 131 × 36431 × 311 × 1911
LCM(94718,94736) = 4486602224
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