What is the Least Common Multiple of 15760 and 15776?

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 15760 and 15776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15760 and 15776, than apply into the LCM equation.

GCF(15760,15776) = 16
LCM(15760,15776) = ( 15760 × 15776) / 16
LCM(15760,15776) = 248629760 / 16
LCM(15760,15776) = 15539360

Least Common Multiple (LCM) of 15760 and 15776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15760 and 15776. First we will calculate the prime factors of 15760 and 15776.

Prime Factorization of 15760

Prime Factorization of 15776

Now multiplying the highest exponent prime factors to calculate the LCM of 15760 and 15776.

LCM(15760,15776) = 2⁵ × 5¹ × 197¹ × 17¹ × 29¹
LCM(15760,15776) = 15539360