What is the Least Common Multiple of 2816 and 2821?
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 2816 and 2821 is 7943936.
LCM(2816,2821) = 7943936
Least Common Multiple of 2816 and 2821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2816 and 2821, than apply into the LCM equation.
GCF(2816,2821) = 1
LCM(2816,2821) = ( 2816 × 2821) / 1
LCM(2816,2821) = 7943936 / 1
LCM(2816,2821) = 7943936
Least Common Multiple (LCM) of 2816 and 2821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2816 and 2821. First we will calculate the prime factors of 2816 and 2821.
Prime Factorization of 2816
Prime factors of 2816 are 2, 11. Prime factorization of 2816 in exponential form is:
2816 = 28 × 111
Prime Factorization of 2821
Prime factors of 2821 are 7, 13, 31. Prime factorization of 2821 in exponential form is:
2821 = 71 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 2816 and 2821.
LCM(2816,2821) = 28 × 111 × 71 × 131 × 311
LCM(2816,2821) = 7943936
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