What is the Least Common Multiple of 94631 and 94650?
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 94631 and 94650 is 8956824150.
LCM(94631,94650) = 8956824150
Least Common Multiple of 94631 and 94650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94631 and 94650, than apply into the LCM equation.
GCF(94631,94650) = 1
LCM(94631,94650) = ( 94631 × 94650) / 1
LCM(94631,94650) = 8956824150 / 1
LCM(94631,94650) = 8956824150
Least Common Multiple (LCM) of 94631 and 94650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94631 and 94650. First we will calculate the prime factors of 94631 and 94650.
Prime Factorization of 94631
Prime factors of 94631 are 173, 547. Prime factorization of 94631 in exponential form is:
94631 = 1731 × 5471
Prime Factorization of 94650
Prime factors of 94650 are 2, 3, 5, 631. Prime factorization of 94650 in exponential form is:
94650 = 21 × 31 × 52 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 94631 and 94650.
LCM(94631,94650) = 1731 × 5471 × 21 × 31 × 52 × 6311
LCM(94631,94650) = 8956824150
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