What is the Least Common Multiple of 58851 and 58857?
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 58851 and 58857 is 1154597769.
LCM(58851,58857) = 1154597769
Least Common Multiple of 58851 and 58857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58851 and 58857, than apply into the LCM equation.
GCF(58851,58857) = 3
LCM(58851,58857) = ( 58851 × 58857) / 3
LCM(58851,58857) = 3463793307 / 3
LCM(58851,58857) = 1154597769
Least Common Multiple (LCM) of 58851 and 58857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58851 and 58857. First we will calculate the prime factors of 58851 and 58857.
Prime Factorization of 58851
Prime factors of 58851 are 3, 13, 503. Prime factorization of 58851 in exponential form is:
58851 = 32 × 131 × 5031
Prime Factorization of 58857
Prime factors of 58857 are 3, 23, 853. Prime factorization of 58857 in exponential form is:
58857 = 31 × 231 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 58851 and 58857.
LCM(58851,58857) = 32 × 131 × 5031 × 231 × 8531
LCM(58851,58857) = 1154597769
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