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What is the Least Common Multiple of 37061 and 37081?

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 37061 and 37081 is 1374258941.

LCM(37061,37081) = 1374258941

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Least Common Multiple of 37061 and 37081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37061 and 37081, than apply into the LCM equation.

GCF(37061,37081) = 1
LCM(37061,37081) = ( 37061 × 37081) / 1
LCM(37061,37081) = 1374258941 / 1
LCM(37061,37081) = 1374258941

Least Common Multiple (LCM) of 37061 and 37081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37061 and 37081. First we will calculate the prime factors of 37061 and 37081.

Prime Factorization of 37061

Prime factors of 37061 are 37061. Prime factorization of 37061 in exponential form is:

37061 = 370611

Prime Factorization of 37081

Prime factors of 37081 are 11, 3371. Prime factorization of 37081 in exponential form is:

37081 = 111 × 33711

Now multiplying the highest exponent prime factors to calculate the LCM of 37061 and 37081.

LCM(37061,37081) = 370611 × 111 × 33711
LCM(37061,37081) = 1374258941