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What is the Least Common Multiple of 53717 and 53722?

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 53717 and 53722 is 2885784674.

LCM(53717,53722) = 2885784674

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Least Common Multiple of 53717 and 53722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53717 and 53722, than apply into the LCM equation.

GCF(53717,53722) = 1
LCM(53717,53722) = ( 53717 × 53722) / 1
LCM(53717,53722) = 2885784674 / 1
LCM(53717,53722) = 2885784674

Least Common Multiple (LCM) of 53717 and 53722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53717 and 53722. First we will calculate the prime factors of 53717 and 53722.

Prime Factorization of 53717

Prime factors of 53717 are 53717. Prime factorization of 53717 in exponential form is:

53717 = 537171

Prime Factorization of 53722

Prime factors of 53722 are 2, 26861. Prime factorization of 53722 in exponential form is:

53722 = 21 × 268611

Now multiplying the highest exponent prime factors to calculate the LCM of 53717 and 53722.

LCM(53717,53722) = 537171 × 21 × 268611
LCM(53717,53722) = 2885784674