What is the Least Common Multiple of 10877 and 10892?
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 10877 and 10892 is 118472284.
LCM(10877,10892) = 118472284
Least Common Multiple of 10877 and 10892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10877 and 10892, than apply into the LCM equation.
GCF(10877,10892) = 1
LCM(10877,10892) = ( 10877 × 10892) / 1
LCM(10877,10892) = 118472284 / 1
LCM(10877,10892) = 118472284
Least Common Multiple (LCM) of 10877 and 10892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10877 and 10892. First we will calculate the prime factors of 10877 and 10892.
Prime Factorization of 10877
Prime factors of 10877 are 73, 149. Prime factorization of 10877 in exponential form is:
10877 = 731 × 1491
Prime Factorization of 10892
Prime factors of 10892 are 2, 7, 389. Prime factorization of 10892 in exponential form is:
10892 = 22 × 71 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 10877 and 10892.
LCM(10877,10892) = 731 × 1491 × 22 × 71 × 3891
LCM(10877,10892) = 118472284
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