What is the Least Common Multiple of 29730 and 29744?

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 of 29730 and 29744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29730 and 29744, than apply into the LCM equation.

GCF(29730,29744) = 2
LCM(29730,29744) = ( 29730 × 29744) / 2
LCM(29730,29744) = 884289120 / 2
LCM(29730,29744) = 442144560

Least Common Multiple (LCM) of 29730 and 29744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29730 and 29744. First we will calculate the prime factors of 29730 and 29744.

Prime Factorization of 29730

Prime Factorization of 29744

Now multiplying the highest exponent prime factors to calculate the LCM of 29730 and 29744.

LCM(29730,29744) = 2⁴ × 3¹ × 5¹ × 991¹ × 11¹ × 13²
LCM(29730,29744) = 442144560