What is the Least Common Multiple of 5406 and 5420?
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 5406 and 5420 is 14650260.
LCM(5406,5420) = 14650260
Least Common Multiple of 5406 and 5420 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5406 and 5420, than apply into the LCM equation.
GCF(5406,5420) = 2
LCM(5406,5420) = ( 5406 × 5420) / 2
LCM(5406,5420) = 29300520 / 2
LCM(5406,5420) = 14650260
Least Common Multiple (LCM) of 5406 and 5420 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5406 and 5420. First we will calculate the prime factors of 5406 and 5420.
Prime Factorization of 5406
Prime factors of 5406 are 2, 3, 17, 53. Prime factorization of 5406 in exponential form is:
5406 = 21 × 31 × 171 × 531
Prime Factorization of 5420
Prime factors of 5420 are 2, 5, 271. Prime factorization of 5420 in exponential form is:
5420 = 22 × 51 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 5406 and 5420.
LCM(5406,5420) = 22 × 31 × 171 × 531 × 51 × 2711
LCM(5406,5420) = 14650260
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