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What is the Least Common Multiple of 29759 and 29778?

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 29759 and 29778 is 886163502.

LCM(29759,29778) = 886163502

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Least Common Multiple of 29759 and 29778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29759 and 29778, than apply into the LCM equation.

GCF(29759,29778) = 1
LCM(29759,29778) = ( 29759 × 29778) / 1
LCM(29759,29778) = 886163502 / 1
LCM(29759,29778) = 886163502

Least Common Multiple (LCM) of 29759 and 29778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29759 and 29778. First we will calculate the prime factors of 29759 and 29778.

Prime Factorization of 29759

Prime factors of 29759 are 29759. Prime factorization of 29759 in exponential form is:

29759 = 297591

Prime Factorization of 29778

Prime factors of 29778 are 2, 3, 7, 709. Prime factorization of 29778 in exponential form is:

29778 = 21 × 31 × 71 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 29759 and 29778.

LCM(29759,29778) = 297591 × 21 × 31 × 71 × 7091
LCM(29759,29778) = 886163502