What is the Least Common Multiple of 21777 and 21788?
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 21777 and 21788 is 474477276.
LCM(21777,21788) = 474477276
Least Common Multiple of 21777 and 21788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21777 and 21788, than apply into the LCM equation.
GCF(21777,21788) = 1
LCM(21777,21788) = ( 21777 × 21788) / 1
LCM(21777,21788) = 474477276 / 1
LCM(21777,21788) = 474477276
Least Common Multiple (LCM) of 21777 and 21788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21777 and 21788. First we will calculate the prime factors of 21777 and 21788.
Prime Factorization of 21777
Prime factors of 21777 are 3, 7, 17, 61. Prime factorization of 21777 in exponential form is:
21777 = 31 × 71 × 171 × 611
Prime Factorization of 21788
Prime factors of 21788 are 2, 13, 419. Prime factorization of 21788 in exponential form is:
21788 = 22 × 131 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 21777 and 21788.
LCM(21777,21788) = 31 × 71 × 171 × 611 × 22 × 131 × 4191
LCM(21777,21788) = 474477276
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