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What is the Least Common Multiple of 92240 and 92246?

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 92240 and 92246 is 4254385520.

LCM(92240,92246) = 4254385520

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Least Common Multiple of 92240 and 92246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92240 and 92246, than apply into the LCM equation.

GCF(92240,92246) = 2
LCM(92240,92246) = ( 92240 × 92246) / 2
LCM(92240,92246) = 8508771040 / 2
LCM(92240,92246) = 4254385520

Least Common Multiple (LCM) of 92240 and 92246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92240 and 92246. First we will calculate the prime factors of 92240 and 92246.

Prime Factorization of 92240

Prime factors of 92240 are 2, 5, 1153. Prime factorization of 92240 in exponential form is:

92240 = 24 × 51 × 11531

Prime Factorization of 92246

Prime factors of 92246 are 2, 7, 11, 599. Prime factorization of 92246 in exponential form is:

92246 = 21 × 71 × 111 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 92240 and 92246.

LCM(92240,92246) = 24 × 51 × 11531 × 71 × 111 × 5991
LCM(92240,92246) = 4254385520