What is the Least Common Multiple of 35728 and 35740?

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 35728 and 35740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35728 and 35740, than apply into the LCM equation.

GCF(35728,35740) = 4
LCM(35728,35740) = ( 35728 × 35740) / 4
LCM(35728,35740) = 1276918720 / 4
LCM(35728,35740) = 319229680

Least Common Multiple (LCM) of 35728 and 35740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35728 and 35740. First we will calculate the prime factors of 35728 and 35740.

Prime Factorization of 35728

Prime Factorization of 35740

Now multiplying the highest exponent prime factors to calculate the LCM of 35728 and 35740.

LCM(35728,35740) = 2⁴ × 7¹ × 11¹ × 29¹ × 5¹ × 1787¹
LCM(35728,35740) = 319229680