What is the Least Common Multiple of 53714 and 53728?

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 53714 and 53728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53714 and 53728, than apply into the LCM equation.

GCF(53714,53728) = 2
LCM(53714,53728) = ( 53714 × 53728) / 2
LCM(53714,53728) = 2885945792 / 2
LCM(53714,53728) = 1442972896

Least Common Multiple (LCM) of 53714 and 53728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53714 and 53728. First we will calculate the prime factors of 53714 and 53728.

Prime Factorization of 53714

Prime Factorization of 53728

Now multiplying the highest exponent prime factors to calculate the LCM of 53714 and 53728.

LCM(53714,53728) = 2⁵ × 107¹ × 251¹ × 23¹ × 73¹
LCM(53714,53728) = 1442972896