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What is the Least Common Multiple of 91862 and 91866?

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 91862 and 91866 is 4219497246.

LCM(91862,91866) = 4219497246

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Least Common Multiple of 91862 and 91866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91862 and 91866, than apply into the LCM equation.

GCF(91862,91866) = 2
LCM(91862,91866) = ( 91862 × 91866) / 2
LCM(91862,91866) = 8438994492 / 2
LCM(91862,91866) = 4219497246

Least Common Multiple (LCM) of 91862 and 91866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91862 and 91866. First we will calculate the prime factors of 91862 and 91866.

Prime Factorization of 91862

Prime factors of 91862 are 2, 23, 1997. Prime factorization of 91862 in exponential form is:

91862 = 21 × 231 × 19971

Prime Factorization of 91866

Prime factors of 91866 are 2, 3, 61, 251. Prime factorization of 91866 in exponential form is:

91866 = 21 × 31 × 611 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 91862 and 91866.

LCM(91862,91866) = 21 × 231 × 19971 × 31 × 611 × 2511
LCM(91862,91866) = 4219497246