What is the Least Common Multiple of 4776 and 4793?
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 4776 and 4793 is 22891368.
LCM(4776,4793) = 22891368
Least Common Multiple of 4776 and 4793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4776 and 4793, than apply into the LCM equation.
GCF(4776,4793) = 1
LCM(4776,4793) = ( 4776 × 4793) / 1
LCM(4776,4793) = 22891368 / 1
LCM(4776,4793) = 22891368
Least Common Multiple (LCM) of 4776 and 4793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4776 and 4793. First we will calculate the prime factors of 4776 and 4793.
Prime Factorization of 4776
Prime factors of 4776 are 2, 3, 199. Prime factorization of 4776 in exponential form is:
4776 = 23 × 31 × 1991
Prime Factorization of 4793
Prime factors of 4793 are 4793. Prime factorization of 4793 in exponential form is:
4793 = 47931
Now multiplying the highest exponent prime factors to calculate the LCM of 4776 and 4793.
LCM(4776,4793) = 23 × 31 × 1991 × 47931
LCM(4776,4793) = 22891368
Related Least Common Multiples of 4776
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Related Least Common Multiples of 4793
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