GCF and LCM Calculator Logo

What is the Least Common Multiple of 29720 and 29740?

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 29720 and 29740 is 44193640.

LCM(29720,29740) = 44193640

LCM Calculator and
and

Least Common Multiple of 29720 and 29740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29720 and 29740, than apply into the LCM equation.

GCF(29720,29740) = 20
LCM(29720,29740) = ( 29720 × 29740) / 20
LCM(29720,29740) = 883872800 / 20
LCM(29720,29740) = 44193640

Least Common Multiple (LCM) of 29720 and 29740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29720 and 29740. First we will calculate the prime factors of 29720 and 29740.

Prime Factorization of 29720

Prime factors of 29720 are 2, 5, 743. Prime factorization of 29720 in exponential form is:

29720 = 23 × 51 × 7431

Prime Factorization of 29740

Prime factors of 29740 are 2, 5, 1487. Prime factorization of 29740 in exponential form is:

29740 = 22 × 51 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 29720 and 29740.

LCM(29720,29740) = 23 × 51 × 7431 × 14871
LCM(29720,29740) = 44193640