What is the Least Common Multiple of 4774 and 4779?
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 4774 and 4779 is 22814946.
LCM(4774,4779) = 22814946
Least Common Multiple of 4774 and 4779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4774 and 4779, than apply into the LCM equation.
GCF(4774,4779) = 1
LCM(4774,4779) = ( 4774 × 4779) / 1
LCM(4774,4779) = 22814946 / 1
LCM(4774,4779) = 22814946
Least Common Multiple (LCM) of 4774 and 4779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4774 and 4779. First we will calculate the prime factors of 4774 and 4779.
Prime Factorization of 4774
Prime factors of 4774 are 2, 7, 11, 31. Prime factorization of 4774 in exponential form is:
4774 = 21 × 71 × 111 × 311
Prime Factorization of 4779
Prime factors of 4779 are 3, 59. Prime factorization of 4779 in exponential form is:
4779 = 34 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 4774 and 4779.
LCM(4774,4779) = 21 × 71 × 111 × 311 × 34 × 591
LCM(4774,4779) = 22814946
Related Least Common Multiples of 4774
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Related Least Common Multiples of 4779
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