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What is the Least Common Multiple of 92992 and 93003?

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 92992 and 93003 is 8648534976.

LCM(92992,93003) = 8648534976

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Least Common Multiple of 92992 and 93003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92992 and 93003, than apply into the LCM equation.

GCF(92992,93003) = 1
LCM(92992,93003) = ( 92992 × 93003) / 1
LCM(92992,93003) = 8648534976 / 1
LCM(92992,93003) = 8648534976

Least Common Multiple (LCM) of 92992 and 93003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92992 and 93003. First we will calculate the prime factors of 92992 and 93003.

Prime Factorization of 92992

Prime factors of 92992 are 2, 1453. Prime factorization of 92992 in exponential form is:

92992 = 26 × 14531

Prime Factorization of 93003

Prime factors of 93003 are 3, 29, 1069. Prime factorization of 93003 in exponential form is:

93003 = 31 × 291 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 92992 and 93003.

LCM(92992,93003) = 26 × 14531 × 31 × 291 × 10691
LCM(92992,93003) = 8648534976