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What is the Least Common Multiple of 4726 and 4730?

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 4726 and 4730 is 11176990.

LCM(4726,4730) = 11176990

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Least Common Multiple of 4726 and 4730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4726 and 4730, than apply into the LCM equation.

GCF(4726,4730) = 2
LCM(4726,4730) = ( 4726 × 4730) / 2
LCM(4726,4730) = 22353980 / 2
LCM(4726,4730) = 11176990

Least Common Multiple (LCM) of 4726 and 4730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4726 and 4730. First we will calculate the prime factors of 4726 and 4730.

Prime Factorization of 4726

Prime factors of 4726 are 2, 17, 139. Prime factorization of 4726 in exponential form is:

4726 = 21 × 171 × 1391

Prime Factorization of 4730

Prime factors of 4730 are 2, 5, 11, 43. Prime factorization of 4730 in exponential form is:

4730 = 21 × 51 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4726 and 4730.

LCM(4726,4730) = 21 × 171 × 1391 × 51 × 111 × 431
LCM(4726,4730) = 11176990