What is the Least Common Multiple of 5076 and 5096?
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 5076 and 5096 is 6466824.
LCM(5076,5096) = 6466824
Least Common Multiple of 5076 and 5096 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5076 and 5096, than apply into the LCM equation.
GCF(5076,5096) = 4
LCM(5076,5096) = ( 5076 × 5096) / 4
LCM(5076,5096) = 25867296 / 4
LCM(5076,5096) = 6466824
Least Common Multiple (LCM) of 5076 and 5096 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5076 and 5096. First we will calculate the prime factors of 5076 and 5096.
Prime Factorization of 5076
Prime factors of 5076 are 2, 3, 47. Prime factorization of 5076 in exponential form is:
5076 = 22 × 33 × 471
Prime Factorization of 5096
Prime factors of 5096 are 2, 7, 13. Prime factorization of 5096 in exponential form is:
5096 = 23 × 72 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 5076 and 5096.
LCM(5076,5096) = 23 × 33 × 471 × 72 × 131
LCM(5076,5096) = 6466824
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