What is the Least Common Multiple of 21778 and 21783?
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 21778 and 21783 is 474390174.
LCM(21778,21783) = 474390174
Least Common Multiple of 21778 and 21783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21778 and 21783, than apply into the LCM equation.
GCF(21778,21783) = 1
LCM(21778,21783) = ( 21778 × 21783) / 1
LCM(21778,21783) = 474390174 / 1
LCM(21778,21783) = 474390174
Least Common Multiple (LCM) of 21778 and 21783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21778 and 21783. First we will calculate the prime factors of 21778 and 21783.
Prime Factorization of 21778
Prime factors of 21778 are 2, 10889. Prime factorization of 21778 in exponential form is:
21778 = 21 × 108891
Prime Factorization of 21783
Prime factors of 21783 are 3, 53, 137. Prime factorization of 21783 in exponential form is:
21783 = 31 × 531 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 21778 and 21783.
LCM(21778,21783) = 21 × 108891 × 31 × 531 × 1371
LCM(21778,21783) = 474390174
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