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What is the Least Common Multiple of 3630 and 3650?

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 3630 and 3650 is 1324950.

LCM(3630,3650) = 1324950

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Least Common Multiple of 3630 and 3650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3630 and 3650, than apply into the LCM equation.

GCF(3630,3650) = 10
LCM(3630,3650) = ( 3630 × 3650) / 10
LCM(3630,3650) = 13249500 / 10
LCM(3630,3650) = 1324950

Least Common Multiple (LCM) of 3630 and 3650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3630 and 3650. First we will calculate the prime factors of 3630 and 3650.

Prime Factorization of 3630

Prime factors of 3630 are 2, 3, 5, 11. Prime factorization of 3630 in exponential form is:

3630 = 21 × 31 × 51 × 112

Prime Factorization of 3650

Prime factors of 3650 are 2, 5, 73. Prime factorization of 3650 in exponential form is:

3650 = 21 × 52 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 3630 and 3650.

LCM(3630,3650) = 21 × 31 × 52 × 112 × 731
LCM(3630,3650) = 1324950