What is the Least Common Multiple of 21692 and 21711?
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 21692 and 21711 is 470955012.
LCM(21692,21711) = 470955012
Least Common Multiple of 21692 and 21711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21692 and 21711, than apply into the LCM equation.
GCF(21692,21711) = 1
LCM(21692,21711) = ( 21692 × 21711) / 1
LCM(21692,21711) = 470955012 / 1
LCM(21692,21711) = 470955012
Least Common Multiple (LCM) of 21692 and 21711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21692 and 21711. First we will calculate the prime factors of 21692 and 21711.
Prime Factorization of 21692
Prime factors of 21692 are 2, 11, 17, 29. Prime factorization of 21692 in exponential form is:
21692 = 22 × 111 × 171 × 291
Prime Factorization of 21711
Prime factors of 21711 are 3, 7237. Prime factorization of 21711 in exponential form is:
21711 = 31 × 72371
Now multiplying the highest exponent prime factors to calculate the LCM of 21692 and 21711.
LCM(21692,21711) = 22 × 111 × 171 × 291 × 31 × 72371
LCM(21692,21711) = 470955012
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