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What is the Least Common Multiple of 3650 and 3660?

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 3650 and 3660 is 1335900.

LCM(3650,3660) = 1335900

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Least Common Multiple of 3650 and 3660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3650 and 3660, than apply into the LCM equation.

GCF(3650,3660) = 10
LCM(3650,3660) = ( 3650 × 3660) / 10
LCM(3650,3660) = 13359000 / 10
LCM(3650,3660) = 1335900

Least Common Multiple (LCM) of 3650 and 3660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3650 and 3660. First we will calculate the prime factors of 3650 and 3660.

Prime Factorization of 3650

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

3650 = 21 × 52 × 731

Prime Factorization of 3660

Prime factors of 3660 are 2, 3, 5, 61. Prime factorization of 3660 in exponential form is:

3660 = 22 × 31 × 51 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 3650 and 3660.

LCM(3650,3660) = 22 × 52 × 731 × 31 × 611
LCM(3650,3660) = 1335900