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What is the Least Common Multiple of 60711 and 60727?

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 60711 and 60727 is 3686796897.

LCM(60711,60727) = 3686796897

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Least Common Multiple of 60711 and 60727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60711 and 60727, than apply into the LCM equation.

GCF(60711,60727) = 1
LCM(60711,60727) = ( 60711 × 60727) / 1
LCM(60711,60727) = 3686796897 / 1
LCM(60711,60727) = 3686796897

Least Common Multiple (LCM) of 60711 and 60727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60711 and 60727. First we will calculate the prime factors of 60711 and 60727.

Prime Factorization of 60711

Prime factors of 60711 are 3, 7, 59. Prime factorization of 60711 in exponential form is:

60711 = 31 × 73 × 591

Prime Factorization of 60727

Prime factors of 60727 are 60727. Prime factorization of 60727 in exponential form is:

60727 = 607271

Now multiplying the highest exponent prime factors to calculate the LCM of 60711 and 60727.

LCM(60711,60727) = 31 × 73 × 591 × 607271
LCM(60711,60727) = 3686796897