What is the Least Common Multiple of 4887 and 4898?
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 4887 and 4898 is 23936526.
LCM(4887,4898) = 23936526
Least Common Multiple of 4887 and 4898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4887 and 4898, than apply into the LCM equation.
GCF(4887,4898) = 1
LCM(4887,4898) = ( 4887 × 4898) / 1
LCM(4887,4898) = 23936526 / 1
LCM(4887,4898) = 23936526
Least Common Multiple (LCM) of 4887 and 4898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4887 and 4898. First we will calculate the prime factors of 4887 and 4898.
Prime Factorization of 4887
Prime factors of 4887 are 3, 181. Prime factorization of 4887 in exponential form is:
4887 = 33 × 1811
Prime Factorization of 4898
Prime factors of 4898 are 2, 31, 79. Prime factorization of 4898 in exponential form is:
4898 = 21 × 311 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 4887 and 4898.
LCM(4887,4898) = 33 × 1811 × 21 × 311 × 791
LCM(4887,4898) = 23936526
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