What is the Least Common Multiple of 4894 and 4901?
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 4894 and 4901 is 23985494.
LCM(4894,4901) = 23985494
Least Common Multiple of 4894 and 4901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4894 and 4901, than apply into the LCM equation.
GCF(4894,4901) = 1
LCM(4894,4901) = ( 4894 × 4901) / 1
LCM(4894,4901) = 23985494 / 1
LCM(4894,4901) = 23985494
Least Common Multiple (LCM) of 4894 and 4901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4894 and 4901. First we will calculate the prime factors of 4894 and 4901.
Prime Factorization of 4894
Prime factors of 4894 are 2, 2447. Prime factorization of 4894 in exponential form is:
4894 = 21 × 24471
Prime Factorization of 4901
Prime factors of 4901 are 13, 29. Prime factorization of 4901 in exponential form is:
4901 = 132 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 4894 and 4901.
LCM(4894,4901) = 21 × 24471 × 132 × 291
LCM(4894,4901) = 23985494
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