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What is the Least Common Multiple of 62755 and 62771?

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 62755 and 62771 is 3939194105.

LCM(62755,62771) = 3939194105

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Least Common Multiple of 62755 and 62771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62755 and 62771, than apply into the LCM equation.

GCF(62755,62771) = 1
LCM(62755,62771) = ( 62755 × 62771) / 1
LCM(62755,62771) = 3939194105 / 1
LCM(62755,62771) = 3939194105

Least Common Multiple (LCM) of 62755 and 62771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62755 and 62771. First we will calculate the prime factors of 62755 and 62771.

Prime Factorization of 62755

Prime factors of 62755 are 5, 7, 11, 163. Prime factorization of 62755 in exponential form is:

62755 = 51 × 71 × 111 × 1631

Prime Factorization of 62771

Prime factors of 62771 are 41, 1531. Prime factorization of 62771 in exponential form is:

62771 = 411 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 62755 and 62771.

LCM(62755,62771) = 51 × 71 × 111 × 1631 × 411 × 15311
LCM(62755,62771) = 3939194105