What is the Least Common Multiple of 77862 and 77866?
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 77862 and 77866 is 3031401246.
LCM(77862,77866) = 3031401246
Least Common Multiple of 77862 and 77866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77862 and 77866, than apply into the LCM equation.
GCF(77862,77866) = 2
LCM(77862,77866) = ( 77862 × 77866) / 2
LCM(77862,77866) = 6062802492 / 2
LCM(77862,77866) = 3031401246
Least Common Multiple (LCM) of 77862 and 77866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77862 and 77866. First we will calculate the prime factors of 77862 and 77866.
Prime Factorization of 77862
Prime factors of 77862 are 2, 3, 19, 683. Prime factorization of 77862 in exponential form is:
77862 = 21 × 31 × 191 × 6831
Prime Factorization of 77866
Prime factors of 77866 are 2, 38933. Prime factorization of 77866 in exponential form is:
77866 = 21 × 389331
Now multiplying the highest exponent prime factors to calculate the LCM of 77862 and 77866.
LCM(77862,77866) = 21 × 31 × 191 × 6831 × 389331
LCM(77862,77866) = 3031401246
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