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What is the Least Common Multiple of 92860 and 92868?

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 92860 and 92868 is 2155930620.

LCM(92860,92868) = 2155930620

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Least Common Multiple of 92860 and 92868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92860 and 92868, than apply into the LCM equation.

GCF(92860,92868) = 4
LCM(92860,92868) = ( 92860 × 92868) / 4
LCM(92860,92868) = 8623722480 / 4
LCM(92860,92868) = 2155930620

Least Common Multiple (LCM) of 92860 and 92868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92860 and 92868. First we will calculate the prime factors of 92860 and 92868.

Prime Factorization of 92860

Prime factors of 92860 are 2, 5, 4643. Prime factorization of 92860 in exponential form is:

92860 = 22 × 51 × 46431

Prime Factorization of 92868

Prime factors of 92868 are 2, 3, 71, 109. Prime factorization of 92868 in exponential form is:

92868 = 22 × 31 × 711 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 92860 and 92868.

LCM(92860,92868) = 22 × 51 × 46431 × 31 × 711 × 1091
LCM(92860,92868) = 2155930620