What is the Least Common Multiple of 862 and 866?
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 862 and 866 is 373246.
LCM(862,866) = 373246
Least Common Multiple of 862 and 866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 862 and 866, than apply into the LCM equation.
GCF(862,866) = 2
LCM(862,866) = ( 862 × 866) / 2
LCM(862,866) = 746492 / 2
LCM(862,866) = 373246
Least Common Multiple (LCM) of 862 and 866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 866. First we will calculate the prime factors of 862 and 866.
Prime Factorization of 862
Prime factors of 862 are 2, 431. Prime factorization of 862 in exponential form is:
862 = 21 × 4311
Prime Factorization of 866
Prime factors of 866 are 2, 433. Prime factorization of 866 in exponential form is:
866 = 21 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 862 and 866.
LCM(862,866) = 21 × 4311 × 4331
LCM(862,866) = 373246
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