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What is the Least Common Multiple of 37303 and 37313?

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 37303 and 37313 is 1391886839.

LCM(37303,37313) = 1391886839

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Least Common Multiple of 37303 and 37313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37303 and 37313, than apply into the LCM equation.

GCF(37303,37313) = 1
LCM(37303,37313) = ( 37303 × 37313) / 1
LCM(37303,37313) = 1391886839 / 1
LCM(37303,37313) = 1391886839

Least Common Multiple (LCM) of 37303 and 37313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37303 and 37313. First we will calculate the prime factors of 37303 and 37313.

Prime Factorization of 37303

Prime factors of 37303 are 7, 73. Prime factorization of 37303 in exponential form is:

37303 = 71 × 732

Prime Factorization of 37313

Prime factors of 37313 are 37313. Prime factorization of 37313 in exponential form is:

37313 = 373131

Now multiplying the highest exponent prime factors to calculate the LCM of 37303 and 37313.

LCM(37303,37313) = 71 × 732 × 373131
LCM(37303,37313) = 1391886839