What is the Least Common Multiple of 94762 and 94777?
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 94762 and 94777 is 8981258074.
LCM(94762,94777) = 8981258074
Least Common Multiple of 94762 and 94777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94762 and 94777, than apply into the LCM equation.
GCF(94762,94777) = 1
LCM(94762,94777) = ( 94762 × 94777) / 1
LCM(94762,94777) = 8981258074 / 1
LCM(94762,94777) = 8981258074
Least Common Multiple (LCM) of 94762 and 94777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94762 and 94777. First we will calculate the prime factors of 94762 and 94777.
Prime Factorization of 94762
Prime factors of 94762 are 2, 47381. Prime factorization of 94762 in exponential form is:
94762 = 21 × 473811
Prime Factorization of 94777
Prime factors of 94777 are 94777. Prime factorization of 94777 in exponential form is:
94777 = 947771
Now multiplying the highest exponent prime factors to calculate the LCM of 94762 and 94777.
LCM(94762,94777) = 21 × 473811 × 947771
LCM(94762,94777) = 8981258074
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