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What is the Least Common Multiple of 29710 and 29730?

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 29710 and 29730 is 88327830.

LCM(29710,29730) = 88327830

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Least Common Multiple of 29710 and 29730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29710 and 29730, than apply into the LCM equation.

GCF(29710,29730) = 10
LCM(29710,29730) = ( 29710 × 29730) / 10
LCM(29710,29730) = 883278300 / 10
LCM(29710,29730) = 88327830

Least Common Multiple (LCM) of 29710 and 29730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29710 and 29730. First we will calculate the prime factors of 29710 and 29730.

Prime Factorization of 29710

Prime factors of 29710 are 2, 5, 2971. Prime factorization of 29710 in exponential form is:

29710 = 21 × 51 × 29711

Prime Factorization of 29730

Prime factors of 29730 are 2, 3, 5, 991. Prime factorization of 29730 in exponential form is:

29730 = 21 × 31 × 51 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 29710 and 29730.

LCM(29710,29730) = 21 × 51 × 29711 × 31 × 9911
LCM(29710,29730) = 88327830