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What is the Least Common Multiple of 62706 and 62711?

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 62706 and 62711 is 3932355966.

LCM(62706,62711) = 3932355966

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Least Common Multiple of 62706 and 62711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62706 and 62711, than apply into the LCM equation.

GCF(62706,62711) = 1
LCM(62706,62711) = ( 62706 × 62711) / 1
LCM(62706,62711) = 3932355966 / 1
LCM(62706,62711) = 3932355966

Least Common Multiple (LCM) of 62706 and 62711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62706 and 62711. First we will calculate the prime factors of 62706 and 62711.

Prime Factorization of 62706

Prime factors of 62706 are 2, 3, 7, 1493. Prime factorization of 62706 in exponential form is:

62706 = 21 × 31 × 71 × 14931

Prime Factorization of 62711

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

62711 = 111 × 57011

Now multiplying the highest exponent prime factors to calculate the LCM of 62706 and 62711.

LCM(62706,62711) = 21 × 31 × 71 × 14931 × 111 × 57011
LCM(62706,62711) = 3932355966