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What is the Least Common Multiple of 62366 and 62383?

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 62366 and 62383 is 3890578178.

LCM(62366,62383) = 3890578178

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Least Common Multiple of 62366 and 62383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62366 and 62383, than apply into the LCM equation.

GCF(62366,62383) = 1
LCM(62366,62383) = ( 62366 × 62383) / 1
LCM(62366,62383) = 3890578178 / 1
LCM(62366,62383) = 3890578178

Least Common Multiple (LCM) of 62366 and 62383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62366 and 62383. First we will calculate the prime factors of 62366 and 62383.

Prime Factorization of 62366

Prime factors of 62366 are 2, 31183. Prime factorization of 62366 in exponential form is:

62366 = 21 × 311831

Prime Factorization of 62383

Prime factors of 62383 are 62383. Prime factorization of 62383 in exponential form is:

62383 = 623831

Now multiplying the highest exponent prime factors to calculate the LCM of 62366 and 62383.

LCM(62366,62383) = 21 × 311831 × 623831
LCM(62366,62383) = 3890578178