What is the Least Common Multiple of 4992 and 4996?
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 4992 and 4996 is 6235008.
LCM(4992,4996) = 6235008
Least Common Multiple of 4992 and 4996 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4992 and 4996, than apply into the LCM equation.
GCF(4992,4996) = 4
LCM(4992,4996) = ( 4992 × 4996) / 4
LCM(4992,4996) = 24940032 / 4
LCM(4992,4996) = 6235008
Least Common Multiple (LCM) of 4992 and 4996 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4992 and 4996. First we will calculate the prime factors of 4992 and 4996.
Prime Factorization of 4992
Prime factors of 4992 are 2, 3, 13. Prime factorization of 4992 in exponential form is:
4992 = 27 × 31 × 131
Prime Factorization of 4996
Prime factors of 4996 are 2, 1249. Prime factorization of 4996 in exponential form is:
4996 = 22 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 4992 and 4996.
LCM(4992,4996) = 27 × 31 × 131 × 12491
LCM(4992,4996) = 6235008
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