What is the Least Common Multiple of 94541 and 94550?
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 94541 and 94550 is 8938851550.
LCM(94541,94550) = 8938851550
Least Common Multiple of 94541 and 94550 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94541 and 94550, than apply into the LCM equation.
GCF(94541,94550) = 1
LCM(94541,94550) = ( 94541 × 94550) / 1
LCM(94541,94550) = 8938851550 / 1
LCM(94541,94550) = 8938851550
Least Common Multiple (LCM) of 94541 and 94550 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94541 and 94550. First we will calculate the prime factors of 94541 and 94550.
Prime Factorization of 94541
Prime factors of 94541 are 94541. Prime factorization of 94541 in exponential form is:
94541 = 945411
Prime Factorization of 94550
Prime factors of 94550 are 2, 5, 31, 61. Prime factorization of 94550 in exponential form is:
94550 = 21 × 52 × 311 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 94541 and 94550.
LCM(94541,94550) = 945411 × 21 × 52 × 311 × 611
LCM(94541,94550) = 8938851550
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