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What is the Least Common Multiple of 36940 and 36949?

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 36940 and 36949 is 1364896060.

LCM(36940,36949) = 1364896060

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Least Common Multiple of 36940 and 36949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36940 and 36949, than apply into the LCM equation.

GCF(36940,36949) = 1
LCM(36940,36949) = ( 36940 × 36949) / 1
LCM(36940,36949) = 1364896060 / 1
LCM(36940,36949) = 1364896060

Least Common Multiple (LCM) of 36940 and 36949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36940 and 36949. First we will calculate the prime factors of 36940 and 36949.

Prime Factorization of 36940

Prime factors of 36940 are 2, 5, 1847. Prime factorization of 36940 in exponential form is:

36940 = 22 × 51 × 18471

Prime Factorization of 36949

Prime factors of 36949 are 11, 3359. Prime factorization of 36949 in exponential form is:

36949 = 111 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 36940 and 36949.

LCM(36940,36949) = 22 × 51 × 18471 × 111 × 33591
LCM(36940,36949) = 1364896060