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What is the Least Common Multiple of 30490 and 30495?

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 30490 and 30495 is 185958510.

LCM(30490,30495) = 185958510

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Least Common Multiple of 30490 and 30495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30490 and 30495, than apply into the LCM equation.

GCF(30490,30495) = 5
LCM(30490,30495) = ( 30490 × 30495) / 5
LCM(30490,30495) = 929792550 / 5
LCM(30490,30495) = 185958510

Least Common Multiple (LCM) of 30490 and 30495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30490 and 30495. First we will calculate the prime factors of 30490 and 30495.

Prime Factorization of 30490

Prime factors of 30490 are 2, 5, 3049. Prime factorization of 30490 in exponential form is:

30490 = 21 × 51 × 30491

Prime Factorization of 30495

Prime factors of 30495 are 3, 5, 19, 107. Prime factorization of 30495 in exponential form is:

30495 = 31 × 51 × 191 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 30490 and 30495.

LCM(30490,30495) = 21 × 51 × 30491 × 31 × 191 × 1071
LCM(30490,30495) = 185958510