What is the Least Common Multiple of 94608 and 94614?
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 94608 and 94614 is 1491873552.
LCM(94608,94614) = 1491873552
Least Common Multiple of 94608 and 94614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94608 and 94614, than apply into the LCM equation.
GCF(94608,94614) = 6
LCM(94608,94614) = ( 94608 × 94614) / 6
LCM(94608,94614) = 8951241312 / 6
LCM(94608,94614) = 1491873552
Least Common Multiple (LCM) of 94608 and 94614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94608 and 94614. First we will calculate the prime factors of 94608 and 94614.
Prime Factorization of 94608
Prime factors of 94608 are 2, 3, 73. Prime factorization of 94608 in exponential form is:
94608 = 24 × 34 × 731
Prime Factorization of 94614
Prime factors of 94614 are 2, 3, 13, 1213. Prime factorization of 94614 in exponential form is:
94614 = 21 × 31 × 131 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 94608 and 94614.
LCM(94608,94614) = 24 × 34 × 731 × 131 × 12131
LCM(94608,94614) = 1491873552
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