What is the Least Common Multiple of 35730 and 35744?

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 35730 and 35744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35730 and 35744, than apply into the LCM equation.

GCF(35730,35744) = 2
LCM(35730,35744) = ( 35730 × 35744) / 2
LCM(35730,35744) = 1277133120 / 2
LCM(35730,35744) = 638566560

Least Common Multiple (LCM) of 35730 and 35744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35730 and 35744. First we will calculate the prime factors of 35730 and 35744.

Prime Factorization of 35730

Prime Factorization of 35744

Now multiplying the highest exponent prime factors to calculate the LCM of 35730 and 35744.

LCM(35730,35744) = 2⁵ × 3² × 5¹ × 397¹ × 1117¹
LCM(35730,35744) = 638566560