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What is the Least Common Multiple of 92718 and 92730?

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 92718 and 92730 is 1432956690.

LCM(92718,92730) = 1432956690

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Least Common Multiple of 92718 and 92730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92718 and 92730, than apply into the LCM equation.

GCF(92718,92730) = 6
LCM(92718,92730) = ( 92718 × 92730) / 6
LCM(92718,92730) = 8597740140 / 6
LCM(92718,92730) = 1432956690

Least Common Multiple (LCM) of 92718 and 92730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92718 and 92730. First we will calculate the prime factors of 92718 and 92730.

Prime Factorization of 92718

Prime factors of 92718 are 2, 3, 17, 101. Prime factorization of 92718 in exponential form is:

92718 = 21 × 33 × 171 × 1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 92718 and 92730.

LCM(92718,92730) = 21 × 33 × 171 × 1011 × 51 × 111 × 2811
LCM(92718,92730) = 1432956690