What is the Least Common Multiple of 54863 and 54883?
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 54863 and 54883 is 3011046029.
LCM(54863,54883) = 3011046029
Least Common Multiple of 54863 and 54883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54863 and 54883, than apply into the LCM equation.
GCF(54863,54883) = 1
LCM(54863,54883) = ( 54863 × 54883) / 1
LCM(54863,54883) = 3011046029 / 1
LCM(54863,54883) = 3011046029
Least Common Multiple (LCM) of 54863 and 54883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54863 and 54883. First we will calculate the prime factors of 54863 and 54883.
Prime Factorization of 54863
Prime factors of 54863 are 83, 661. Prime factorization of 54863 in exponential form is:
54863 = 831 × 6611
Prime Factorization of 54883
Prime factors of 54883 are 71, 773. Prime factorization of 54883 in exponential form is:
54883 = 711 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 54863 and 54883.
LCM(54863,54883) = 831 × 6611 × 711 × 7731
LCM(54863,54883) = 3011046029
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