What is the Least Common Multiple of 54777 and 54788?
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 54777 and 54788 is 3001122276.
LCM(54777,54788) = 3001122276
Least Common Multiple of 54777 and 54788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54777 and 54788, than apply into the LCM equation.
GCF(54777,54788) = 1
LCM(54777,54788) = ( 54777 × 54788) / 1
LCM(54777,54788) = 3001122276 / 1
LCM(54777,54788) = 3001122276
Least Common Multiple (LCM) of 54777 and 54788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54777 and 54788. First we will calculate the prime factors of 54777 and 54788.
Prime Factorization of 54777
Prime factors of 54777 are 3, 19, 31. Prime factorization of 54777 in exponential form is:
54777 = 31 × 191 × 312
Prime Factorization of 54788
Prime factors of 54788 are 2, 13697. Prime factorization of 54788 in exponential form is:
54788 = 22 × 136971
Now multiplying the highest exponent prime factors to calculate the LCM of 54777 and 54788.
LCM(54777,54788) = 31 × 191 × 312 × 22 × 136971
LCM(54777,54788) = 3001122276
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