What is the Least Common Multiple of 58846 and 58866?
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 58846 and 58866 is 1732014318.
LCM(58846,58866) = 1732014318
Least Common Multiple of 58846 and 58866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58846 and 58866, than apply into the LCM equation.
GCF(58846,58866) = 2
LCM(58846,58866) = ( 58846 × 58866) / 2
LCM(58846,58866) = 3464028636 / 2
LCM(58846,58866) = 1732014318
Least Common Multiple (LCM) of 58846 and 58866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58846 and 58866. First we will calculate the prime factors of 58846 and 58866.
Prime Factorization of 58846
Prime factors of 58846 are 2, 29423. Prime factorization of 58846 in exponential form is:
58846 = 21 × 294231
Prime Factorization of 58866
Prime factors of 58866 are 2, 3, 9811. Prime factorization of 58866 in exponential form is:
58866 = 21 × 31 × 98111
Now multiplying the highest exponent prime factors to calculate the LCM of 58846 and 58866.
LCM(58846,58866) = 21 × 294231 × 31 × 98111
LCM(58846,58866) = 1732014318
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