What is the Least Common Multiple of 20677 and 20692?
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 20677 and 20692 is 427848484.
LCM(20677,20692) = 427848484
Least Common Multiple of 20677 and 20692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20677 and 20692, than apply into the LCM equation.
GCF(20677,20692) = 1
LCM(20677,20692) = ( 20677 × 20692) / 1
LCM(20677,20692) = 427848484 / 1
LCM(20677,20692) = 427848484
Least Common Multiple (LCM) of 20677 and 20692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20677 and 20692. First we will calculate the prime factors of 20677 and 20692.
Prime Factorization of 20677
Prime factors of 20677 are 23, 29, 31. Prime factorization of 20677 in exponential form is:
20677 = 231 × 291 × 311
Prime Factorization of 20692
Prime factors of 20692 are 2, 7, 739. Prime factorization of 20692 in exponential form is:
20692 = 22 × 71 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 20677 and 20692.
LCM(20677,20692) = 231 × 291 × 311 × 22 × 71 × 7391
LCM(20677,20692) = 427848484
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