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What is the Least Common Multiple of 61933 and 61942?

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 61933 and 61942 is 3836253886.

LCM(61933,61942) = 3836253886

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Least Common Multiple of 61933 and 61942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61933 and 61942, than apply into the LCM equation.

GCF(61933,61942) = 1
LCM(61933,61942) = ( 61933 × 61942) / 1
LCM(61933,61942) = 3836253886 / 1
LCM(61933,61942) = 3836253886

Least Common Multiple (LCM) of 61933 and 61942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61933 and 61942. First we will calculate the prime factors of 61933 and 61942.

Prime Factorization of 61933

Prime factors of 61933 are 61933. Prime factorization of 61933 in exponential form is:

61933 = 619331

Prime Factorization of 61942

Prime factors of 61942 are 2, 30971. Prime factorization of 61942 in exponential form is:

61942 = 21 × 309711

Now multiplying the highest exponent prime factors to calculate the LCM of 61933 and 61942.

LCM(61933,61942) = 619331 × 21 × 309711
LCM(61933,61942) = 3836253886