What is the Least Common Multiple of 54839 and 54847?
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 54839 and 54847 is 3007754633.
LCM(54839,54847) = 3007754633
Least Common Multiple of 54839 and 54847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54839 and 54847, than apply into the LCM equation.
GCF(54839,54847) = 1
LCM(54839,54847) = ( 54839 × 54847) / 1
LCM(54839,54847) = 3007754633 / 1
LCM(54839,54847) = 3007754633
Least Common Multiple (LCM) of 54839 and 54847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54839 and 54847. First we will calculate the prime factors of 54839 and 54847.
Prime Factorization of 54839
Prime factors of 54839 are 29, 31, 61. Prime factorization of 54839 in exponential form is:
54839 = 291 × 311 × 611
Prime Factorization of 54847
Prime factors of 54847 are 13, 4219. Prime factorization of 54847 in exponential form is:
54847 = 131 × 42191
Now multiplying the highest exponent prime factors to calculate the LCM of 54839 and 54847.
LCM(54839,54847) = 291 × 311 × 611 × 131 × 42191
LCM(54839,54847) = 3007754633
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