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What is the Least Common Multiple of 82937 and 82942?

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 82937 and 82942 is 6878960654.

LCM(82937,82942) = 6878960654

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Least Common Multiple of 82937 and 82942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82937 and 82942, than apply into the LCM equation.

GCF(82937,82942) = 1
LCM(82937,82942) = ( 82937 × 82942) / 1
LCM(82937,82942) = 6878960654 / 1
LCM(82937,82942) = 6878960654

Least Common Multiple (LCM) of 82937 and 82942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82937 and 82942. First we will calculate the prime factors of 82937 and 82942.

Prime Factorization of 82937

Prime factors of 82937 are 197, 421. Prime factorization of 82937 in exponential form is:

82937 = 1971 × 4211

Prime Factorization of 82942

Prime factors of 82942 are 2, 113, 367. Prime factorization of 82942 in exponential form is:

82942 = 21 × 1131 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 82937 and 82942.

LCM(82937,82942) = 1971 × 4211 × 21 × 1131 × 3671
LCM(82937,82942) = 6878960654