What is the Least Common Multiple of 94620 and 94631?
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 94620 and 94631 is 8953985220.
LCM(94620,94631) = 8953985220
Least Common Multiple of 94620 and 94631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94620 and 94631, than apply into the LCM equation.
GCF(94620,94631) = 1
LCM(94620,94631) = ( 94620 × 94631) / 1
LCM(94620,94631) = 8953985220 / 1
LCM(94620,94631) = 8953985220
Least Common Multiple (LCM) of 94620 and 94631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94620 and 94631. First we will calculate the prime factors of 94620 and 94631.
Prime Factorization of 94620
Prime factors of 94620 are 2, 3, 5, 19, 83. Prime factorization of 94620 in exponential form is:
94620 = 22 × 31 × 51 × 191 × 831
Prime Factorization of 94631
Prime factors of 94631 are 173, 547. Prime factorization of 94631 in exponential form is:
94631 = 1731 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 94620 and 94631.
LCM(94620,94631) = 22 × 31 × 51 × 191 × 831 × 1731 × 5471
LCM(94620,94631) = 8953985220
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