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What is the Least Common Multiple of 92235 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 92235 and 92246 is 773482710.

LCM(92235,92246) = 773482710

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Least Common Multiple of 92235 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 92235 and 92246, than apply into the LCM equation.

GCF(92235,92246) = 11
LCM(92235,92246) = ( 92235 × 92246) / 11
LCM(92235,92246) = 8508309810 / 11
LCM(92235,92246) = 773482710

Least Common Multiple (LCM) of 92235 and 92246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92235 and 92246. First we will calculate the prime factors of 92235 and 92246.

Prime Factorization of 92235

Prime factors of 92235 are 3, 5, 11, 13, 43. Prime factorization of 92235 in exponential form is:

92235 = 31 × 51 × 111 × 131 × 431

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 92235 and 92246.

LCM(92235,92246) = 31 × 51 × 111 × 131 × 431 × 21 × 71 × 5991
LCM(92235,92246) = 773482710