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What is the Least Common Multiple of 92722 and 92740?

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 92722 and 92740 is 4299519140.

LCM(92722,92740) = 4299519140

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Least Common Multiple of 92722 and 92740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92722 and 92740, than apply into the LCM equation.

GCF(92722,92740) = 2
LCM(92722,92740) = ( 92722 × 92740) / 2
LCM(92722,92740) = 8599038280 / 2
LCM(92722,92740) = 4299519140

Least Common Multiple (LCM) of 92722 and 92740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92722 and 92740. First we will calculate the prime factors of 92722 and 92740.

Prime Factorization of 92722

Prime factors of 92722 are 2, 7, 37, 179. Prime factorization of 92722 in exponential form is:

92722 = 21 × 71 × 371 × 1791

Prime Factorization of 92740

Prime factors of 92740 are 2, 5, 4637. Prime factorization of 92740 in exponential form is:

92740 = 22 × 51 × 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 92722 and 92740.

LCM(92722,92740) = 22 × 71 × 371 × 1791 × 51 × 46371
LCM(92722,92740) = 4299519140