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What is the Least Common Multiple of 92063 and 92070?

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 92063 and 92070 is 8476240410.

LCM(92063,92070) = 8476240410

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Least Common Multiple of 92063 and 92070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92063 and 92070, than apply into the LCM equation.

GCF(92063,92070) = 1
LCM(92063,92070) = ( 92063 × 92070) / 1
LCM(92063,92070) = 8476240410 / 1
LCM(92063,92070) = 8476240410

Least Common Multiple (LCM) of 92063 and 92070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92063 and 92070. First we will calculate the prime factors of 92063 and 92070.

Prime Factorization of 92063

Prime factors of 92063 are 43, 2141. Prime factorization of 92063 in exponential form is:

92063 = 431 × 21411

Prime Factorization of 92070

Prime factors of 92070 are 2, 3, 5, 11, 31. Prime factorization of 92070 in exponential form is:

92070 = 21 × 33 × 51 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 92063 and 92070.

LCM(92063,92070) = 431 × 21411 × 21 × 33 × 51 × 111 × 311
LCM(92063,92070) = 8476240410