What is the Least Common Multiple of 94600 and 94616?
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 94616 is 1118834200.
LCM(94600,94616) = 1118834200
Least Common Multiple of 94600 and 94616 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 94616, than apply into the LCM equation.
GCF(94600,94616) = 8
LCM(94600,94616) = ( 94600 × 94616) / 8
LCM(94600,94616) = 8950673600 / 8
LCM(94600,94616) = 1118834200
Least Common Multiple (LCM) of 94600 and 94616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94600 and 94616. First we will calculate the prime factors of 94600 and 94616.
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 94616
Prime factors of 94616 are 2, 11827. Prime factorization of 94616 in exponential form is:
94616 = 23 × 118271
Now multiplying the highest exponent prime factors to calculate the LCM of 94600 and 94616.
LCM(94600,94616) = 23 × 52 × 111 × 431 × 118271
LCM(94600,94616) = 1118834200
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