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What is the Least Common Multiple of 29705 and 29722?

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 29705 and 29722 is 882892010.

LCM(29705,29722) = 882892010

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Least Common Multiple of 29705 and 29722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29705 and 29722, than apply into the LCM equation.

GCF(29705,29722) = 1
LCM(29705,29722) = ( 29705 × 29722) / 1
LCM(29705,29722) = 882892010 / 1
LCM(29705,29722) = 882892010

Least Common Multiple (LCM) of 29705 and 29722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29705 and 29722. First we will calculate the prime factors of 29705 and 29722.

Prime Factorization of 29705

Prime factors of 29705 are 5, 13, 457. Prime factorization of 29705 in exponential form is:

29705 = 51 × 131 × 4571

Prime Factorization of 29722

Prime factors of 29722 are 2, 7, 11, 193. Prime factorization of 29722 in exponential form is:

29722 = 21 × 71 × 111 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 29705 and 29722.

LCM(29705,29722) = 51 × 131 × 4571 × 21 × 71 × 111 × 1931
LCM(29705,29722) = 882892010