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What is the Least Common Multiple of 30495 and 30506?

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 30495 and 30506 is 930280470.

LCM(30495,30506) = 930280470

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Least Common Multiple of 30495 and 30506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30495 and 30506, than apply into the LCM equation.

GCF(30495,30506) = 1
LCM(30495,30506) = ( 30495 × 30506) / 1
LCM(30495,30506) = 930280470 / 1
LCM(30495,30506) = 930280470

Least Common Multiple (LCM) of 30495 and 30506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30495 and 30506. First we will calculate the prime factors of 30495 and 30506.

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

Prime Factorization of 30506

Prime factors of 30506 are 2, 7, 2179. Prime factorization of 30506 in exponential form is:

30506 = 21 × 71 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 30495 and 30506.

LCM(30495,30506) = 31 × 51 × 191 × 1071 × 21 × 71 × 21791
LCM(30495,30506) = 930280470