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What is the Least Common Multiple of 29820 and 29825?

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 29820 and 29825 is 177876300.

LCM(29820,29825) = 177876300

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Least Common Multiple of 29820 and 29825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29820 and 29825, than apply into the LCM equation.

GCF(29820,29825) = 5
LCM(29820,29825) = ( 29820 × 29825) / 5
LCM(29820,29825) = 889381500 / 5
LCM(29820,29825) = 177876300

Least Common Multiple (LCM) of 29820 and 29825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29820 and 29825. First we will calculate the prime factors of 29820 and 29825.

Prime Factorization of 29820

Prime factors of 29820 are 2, 3, 5, 7, 71. Prime factorization of 29820 in exponential form is:

29820 = 22 × 31 × 51 × 71 × 711

Prime Factorization of 29825

Prime factors of 29825 are 5, 1193. Prime factorization of 29825 in exponential form is:

29825 = 52 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 29820 and 29825.

LCM(29820,29825) = 22 × 31 × 52 × 71 × 711 × 11931
LCM(29820,29825) = 177876300