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What is the Least Common Multiple of 92730 and 92739?

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 92730 and 92739 is 2866562490.

LCM(92730,92739) = 2866562490

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Least Common Multiple of 92730 and 92739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92730 and 92739, than apply into the LCM equation.

GCF(92730,92739) = 3
LCM(92730,92739) = ( 92730 × 92739) / 3
LCM(92730,92739) = 8599687470 / 3
LCM(92730,92739) = 2866562490

Least Common Multiple (LCM) of 92730 and 92739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92730 and 92739. First we will calculate the prime factors of 92730 and 92739.

Prime Factorization of 92730

Prime factors of 92730 are 2, 3, 5, 11, 281. Prime factorization of 92730 in exponential form is:

92730 = 21 × 31 × 51 × 111 × 2811

Prime Factorization of 92739

Prime factors of 92739 are 3, 19, 1627. Prime factorization of 92739 in exponential form is:

92739 = 31 × 191 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 92730 and 92739.

LCM(92730,92739) = 21 × 31 × 51 × 111 × 2811 × 191 × 16271
LCM(92730,92739) = 2866562490