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What is the Least Common Multiple of 29766 and 29779?

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 29766 and 29779 is 886401714.

LCM(29766,29779) = 886401714

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Least Common Multiple of 29766 and 29779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29766 and 29779, than apply into the LCM equation.

GCF(29766,29779) = 1
LCM(29766,29779) = ( 29766 × 29779) / 1
LCM(29766,29779) = 886401714 / 1
LCM(29766,29779) = 886401714

Least Common Multiple (LCM) of 29766 and 29779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29766 and 29779. First we will calculate the prime factors of 29766 and 29779.

Prime Factorization of 29766

Prime factors of 29766 are 2, 3, 11, 41. Prime factorization of 29766 in exponential form is:

29766 = 21 × 31 × 112 × 411

Prime Factorization of 29779

Prime factors of 29779 are 97, 307. Prime factorization of 29779 in exponential form is:

29779 = 971 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 29766 and 29779.

LCM(29766,29779) = 21 × 31 × 112 × 411 × 971 × 3071
LCM(29766,29779) = 886401714