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What is the Least Common Multiple of 50372 and 50377?

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 50372 and 50377 is 2537590244.

LCM(50372,50377) = 2537590244

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Least Common Multiple of 50372 and 50377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50372 and 50377, than apply into the LCM equation.

GCF(50372,50377) = 1
LCM(50372,50377) = ( 50372 × 50377) / 1
LCM(50372,50377) = 2537590244 / 1
LCM(50372,50377) = 2537590244

Least Common Multiple (LCM) of 50372 and 50377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50372 and 50377. First we will calculate the prime factors of 50372 and 50377.

Prime Factorization of 50372

Prime factors of 50372 are 2, 7, 257. Prime factorization of 50372 in exponential form is:

50372 = 22 × 72 × 2571

Prime Factorization of 50377

Prime factors of 50377 are 50377. Prime factorization of 50377 in exponential form is:

50377 = 503771

Now multiplying the highest exponent prime factors to calculate the LCM of 50372 and 50377.

LCM(50372,50377) = 22 × 72 × 2571 × 503771
LCM(50372,50377) = 2537590244