What is the Least Common Multiple of 4886 and 4897?
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 4886 and 4897 is 23926742.
LCM(4886,4897) = 23926742
Least Common Multiple of 4886 and 4897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4886 and 4897, than apply into the LCM equation.
GCF(4886,4897) = 1
LCM(4886,4897) = ( 4886 × 4897) / 1
LCM(4886,4897) = 23926742 / 1
LCM(4886,4897) = 23926742
Least Common Multiple (LCM) of 4886 and 4897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4886 and 4897. First we will calculate the prime factors of 4886 and 4897.
Prime Factorization of 4886
Prime factors of 4886 are 2, 7, 349. Prime factorization of 4886 in exponential form is:
4886 = 21 × 71 × 3491
Prime Factorization of 4897
Prime factors of 4897 are 59, 83. Prime factorization of 4897 in exponential form is:
4897 = 591 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 4886 and 4897.
LCM(4886,4897) = 21 × 71 × 3491 × 591 × 831
LCM(4886,4897) = 23926742
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