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What is the Least Common Multiple of 92058 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 92058 and 92070 is 1412630010.

LCM(92058,92070) = 1412630010

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Least Common Multiple of 92058 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 92058 and 92070, than apply into the LCM equation.

GCF(92058,92070) = 6
LCM(92058,92070) = ( 92058 × 92070) / 6
LCM(92058,92070) = 8475780060 / 6
LCM(92058,92070) = 1412630010

Least Common Multiple (LCM) of 92058 and 92070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92058 and 92070. First we will calculate the prime factors of 92058 and 92070.

Prime Factorization of 92058

Prime factors of 92058 are 2, 3, 67, 229. Prime factorization of 92058 in exponential form is:

92058 = 21 × 31 × 671 × 2291

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 92058 and 92070.

LCM(92058,92070) = 21 × 33 × 671 × 2291 × 51 × 111 × 311
LCM(92058,92070) = 1412630010