What is the Least Common Multiple of 53754 and 53760?

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 53754 and 53760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53754 and 53760, than apply into the LCM equation.

GCF(53754,53760) = 6
LCM(53754,53760) = ( 53754 × 53760) / 6
LCM(53754,53760) = 2889815040 / 6
LCM(53754,53760) = 481635840

Least Common Multiple (LCM) of 53754 and 53760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53754 and 53760. First we will calculate the prime factors of 53754 and 53760.

Prime Factorization of 53754

Prime Factorization of 53760

Now multiplying the highest exponent prime factors to calculate the LCM of 53754 and 53760.

LCM(53754,53760) = 2⁹ × 3¹ × 17² × 31¹ × 5¹ × 7¹
LCM(53754,53760) = 481635840