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What is the Least Common Multiple of 62937 and 62950?

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 62937 and 62950 is 3961884150.

LCM(62937,62950) = 3961884150

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Least Common Multiple of 62937 and 62950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62937 and 62950, than apply into the LCM equation.

GCF(62937,62950) = 1
LCM(62937,62950) = ( 62937 × 62950) / 1
LCM(62937,62950) = 3961884150 / 1
LCM(62937,62950) = 3961884150

Least Common Multiple (LCM) of 62937 and 62950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62937 and 62950. First we will calculate the prime factors of 62937 and 62950.

Prime Factorization of 62937

Prime factors of 62937 are 3, 7, 37. Prime factorization of 62937 in exponential form is:

62937 = 35 × 71 × 371

Prime Factorization of 62950

Prime factors of 62950 are 2, 5, 1259. Prime factorization of 62950 in exponential form is:

62950 = 21 × 52 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 62937 and 62950.

LCM(62937,62950) = 35 × 71 × 371 × 21 × 52 × 12591
LCM(62937,62950) = 3961884150