What is the Least Common Multiple of 94856 and 94861?
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 94856 and 94861 is 8998135016.
LCM(94856,94861) = 8998135016
Least Common Multiple of 94856 and 94861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94856 and 94861, than apply into the LCM equation.
GCF(94856,94861) = 1
LCM(94856,94861) = ( 94856 × 94861) / 1
LCM(94856,94861) = 8998135016 / 1
LCM(94856,94861) = 8998135016
Least Common Multiple (LCM) of 94856 and 94861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94856 and 94861. First we will calculate the prime factors of 94856 and 94861.
Prime Factorization of 94856
Prime factors of 94856 are 2, 71, 167. Prime factorization of 94856 in exponential form is:
94856 = 23 × 711 × 1671
Prime Factorization of 94861
Prime factors of 94861 are 13, 7297. Prime factorization of 94861 in exponential form is:
94861 = 131 × 72971
Now multiplying the highest exponent prime factors to calculate the LCM of 94856 and 94861.
LCM(94856,94861) = 23 × 711 × 1671 × 131 × 72971
LCM(94856,94861) = 8998135016
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