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What is the Least Common Multiple of 62711 and 62731?

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 62711 and 62731 is 3933923741.

LCM(62711,62731) = 3933923741

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Least Common Multiple of 62711 and 62731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62711 and 62731, than apply into the LCM equation.

GCF(62711,62731) = 1
LCM(62711,62731) = ( 62711 × 62731) / 1
LCM(62711,62731) = 3933923741 / 1
LCM(62711,62731) = 3933923741

Least Common Multiple (LCM) of 62711 and 62731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62711 and 62731. First we will calculate the prime factors of 62711 and 62731.

Prime Factorization of 62711

Prime factors of 62711 are 11, 5701. Prime factorization of 62711 in exponential form is:

62711 = 111 × 57011

Prime Factorization of 62731

Prime factors of 62731 are 62731. Prime factorization of 62731 in exponential form is:

62731 = 627311

Now multiplying the highest exponent prime factors to calculate the LCM of 62711 and 62731.

LCM(62711,62731) = 111 × 57011 × 627311
LCM(62711,62731) = 3933923741