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What is the Least Common Multiple of 36991 and 37010?

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 36991 and 37010 is 1369036910.

LCM(36991,37010) = 1369036910

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Least Common Multiple of 36991 and 37010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36991 and 37010, than apply into the LCM equation.

GCF(36991,37010) = 1
LCM(36991,37010) = ( 36991 × 37010) / 1
LCM(36991,37010) = 1369036910 / 1
LCM(36991,37010) = 1369036910

Least Common Multiple (LCM) of 36991 and 37010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36991 and 37010. First we will calculate the prime factors of 36991 and 37010.

Prime Factorization of 36991

Prime factors of 36991 are 71, 521. Prime factorization of 36991 in exponential form is:

36991 = 711 × 5211

Prime Factorization of 37010

Prime factors of 37010 are 2, 5, 3701. Prime factorization of 37010 in exponential form is:

37010 = 21 × 51 × 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 36991 and 37010.

LCM(36991,37010) = 711 × 5211 × 21 × 51 × 37011
LCM(36991,37010) = 1369036910