What is the Least Common Multiple of 15520 and 15536?

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 15520 and 15536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15520 and 15536, than apply into the LCM equation.

GCF(15520,15536) = 16
LCM(15520,15536) = ( 15520 × 15536) / 16
LCM(15520,15536) = 241118720 / 16
LCM(15520,15536) = 15069920

Least Common Multiple (LCM) of 15520 and 15536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15520 and 15536. First we will calculate the prime factors of 15520 and 15536.

Prime Factorization of 15520

Prime Factorization of 15536

Now multiplying the highest exponent prime factors to calculate the LCM of 15520 and 15536.

LCM(15520,15536) = 2⁵ × 5¹ × 97¹ × 971¹
LCM(15520,15536) = 15069920