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What is the Least Common Multiple of 62761 and 62777?

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 62761 and 62777 is 3939947297.

LCM(62761,62777) = 3939947297

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Least Common Multiple of 62761 and 62777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62761 and 62777, than apply into the LCM equation.

GCF(62761,62777) = 1
LCM(62761,62777) = ( 62761 × 62777) / 1
LCM(62761,62777) = 3939947297 / 1
LCM(62761,62777) = 3939947297

Least Common Multiple (LCM) of 62761 and 62777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62761 and 62777. First we will calculate the prime factors of 62761 and 62777.

Prime Factorization of 62761

Prime factors of 62761 are 62761. Prime factorization of 62761 in exponential form is:

62761 = 627611

Prime Factorization of 62777

Prime factors of 62777 are 11, 13, 439. Prime factorization of 62777 in exponential form is:

62777 = 111 × 131 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 62761 and 62777.

LCM(62761,62777) = 627611 × 111 × 131 × 4391
LCM(62761,62777) = 3939947297