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What is the Least Common Multiple of 30478 and 30485?

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 30478 and 30485 is 132731690.

LCM(30478,30485) = 132731690

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Least Common Multiple of 30478 and 30485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30478 and 30485, than apply into the LCM equation.

GCF(30478,30485) = 7
LCM(30478,30485) = ( 30478 × 30485) / 7
LCM(30478,30485) = 929121830 / 7
LCM(30478,30485) = 132731690

Least Common Multiple (LCM) of 30478 and 30485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30478 and 30485. First we will calculate the prime factors of 30478 and 30485.

Prime Factorization of 30478

Prime factors of 30478 are 2, 7, 311. Prime factorization of 30478 in exponential form is:

30478 = 21 × 72 × 3111

Prime Factorization of 30485

Prime factors of 30485 are 5, 7, 13, 67. Prime factorization of 30485 in exponential form is:

30485 = 51 × 71 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 30478 and 30485.

LCM(30478,30485) = 21 × 72 × 3111 × 51 × 131 × 671
LCM(30478,30485) = 132731690