What is the Least Common Multiple of 4778 and 4797?
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 4778 and 4797 is 22920066.
LCM(4778,4797) = 22920066
Least Common Multiple of 4778 and 4797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4778 and 4797, than apply into the LCM equation.
GCF(4778,4797) = 1
LCM(4778,4797) = ( 4778 × 4797) / 1
LCM(4778,4797) = 22920066 / 1
LCM(4778,4797) = 22920066
Least Common Multiple (LCM) of 4778 and 4797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4778 and 4797. First we will calculate the prime factors of 4778 and 4797.
Prime Factorization of 4778
Prime factors of 4778 are 2, 2389. Prime factorization of 4778 in exponential form is:
4778 = 21 × 23891
Prime Factorization of 4797
Prime factors of 4797 are 3, 13, 41. Prime factorization of 4797 in exponential form is:
4797 = 32 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 4778 and 4797.
LCM(4778,4797) = 21 × 23891 × 32 × 131 × 411
LCM(4778,4797) = 22920066
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