What is the Least Common Multiple of 94627 and 94644?
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 94627 and 94644 is 8955877788.
LCM(94627,94644) = 8955877788
Least Common Multiple of 94627 and 94644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94627 and 94644, than apply into the LCM equation.
GCF(94627,94644) = 1
LCM(94627,94644) = ( 94627 × 94644) / 1
LCM(94627,94644) = 8955877788 / 1
LCM(94627,94644) = 8955877788
Least Common Multiple (LCM) of 94627 and 94644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94627 and 94644. First we will calculate the prime factors of 94627 and 94644.
Prime Factorization of 94627
Prime factors of 94627 are 13, 29, 251. Prime factorization of 94627 in exponential form is:
94627 = 131 × 291 × 2511
Prime Factorization of 94644
Prime factors of 94644 are 2, 3, 11, 239. Prime factorization of 94644 in exponential form is:
94644 = 22 × 32 × 111 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 94627 and 94644.
LCM(94627,94644) = 131 × 291 × 2511 × 22 × 32 × 111 × 2391
LCM(94627,94644) = 8955877788
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