What is the Least Common Multiple of 21542 and 21548?
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 21542 and 21548 is 232093508.
LCM(21542,21548) = 232093508
Least Common Multiple of 21542 and 21548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21542 and 21548, than apply into the LCM equation.
GCF(21542,21548) = 2
LCM(21542,21548) = ( 21542 × 21548) / 2
LCM(21542,21548) = 464187016 / 2
LCM(21542,21548) = 232093508
Least Common Multiple (LCM) of 21542 and 21548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21542 and 21548. First we will calculate the prime factors of 21542 and 21548.
Prime Factorization of 21542
Prime factors of 21542 are 2, 10771. Prime factorization of 21542 in exponential form is:
21542 = 21 × 107711
Prime Factorization of 21548
Prime factors of 21548 are 2, 5387. Prime factorization of 21548 in exponential form is:
21548 = 22 × 53871
Now multiplying the highest exponent prime factors to calculate the LCM of 21542 and 21548.
LCM(21542,21548) = 22 × 107711 × 53871
LCM(21542,21548) = 232093508
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