What is the Least Common Multiple of 92862 and 92866?
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 92862 and 92866 is 4311861246.
LCM(92862,92866) = 4311861246
Least Common Multiple of 92862 and 92866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92862 and 92866, than apply into the LCM equation.
GCF(92862,92866) = 2
LCM(92862,92866) = ( 92862 × 92866) / 2
LCM(92862,92866) = 8623722492 / 2
LCM(92862,92866) = 4311861246
Least Common Multiple (LCM) of 92862 and 92866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92862 and 92866. First we will calculate the prime factors of 92862 and 92866.
Prime Factorization of 92862
Prime factors of 92862 are 2, 3, 7, 11, 67. Prime factorization of 92862 in exponential form is:
92862 = 21 × 32 × 71 × 111 × 671
Prime Factorization of 92866
Prime factors of 92866 are 2, 59, 787. Prime factorization of 92866 in exponential form is:
92866 = 21 × 591 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 92862 and 92866.
LCM(92862,92866) = 21 × 32 × 71 × 111 × 671 × 591 × 7871
LCM(92862,92866) = 4311861246
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