What is the Least Common Multiple of 76816 and 76821?
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 76816 and 76821 is 5901081936.
LCM(76816,76821) = 5901081936
Least Common Multiple of 76816 and 76821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76816 and 76821, than apply into the LCM equation.
GCF(76816,76821) = 1
LCM(76816,76821) = ( 76816 × 76821) / 1
LCM(76816,76821) = 5901081936 / 1
LCM(76816,76821) = 5901081936
Least Common Multiple (LCM) of 76816 and 76821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76816 and 76821. First we will calculate the prime factors of 76816 and 76821.
Prime Factorization of 76816
Prime factors of 76816 are 2, 4801. Prime factorization of 76816 in exponential form is:
76816 = 24 × 48011
Prime Factorization of 76821
Prime factors of 76821 are 3, 29, 883. Prime factorization of 76821 in exponential form is:
76821 = 31 × 291 × 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 76816 and 76821.
LCM(76816,76821) = 24 × 48011 × 31 × 291 × 8831
LCM(76816,76821) = 5901081936
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