What is the Least Common Multiple of 15536 and 15554?

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 15536 and 15554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15536 and 15554, than apply into the LCM equation.

GCF(15536,15554) = 2
LCM(15536,15554) = ( 15536 × 15554) / 2
LCM(15536,15554) = 241646944 / 2
LCM(15536,15554) = 120823472

Least Common Multiple (LCM) of 15536 and 15554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15536 and 15554. First we will calculate the prime factors of 15536 and 15554.

Prime Factorization of 15536

Prime Factorization of 15554

Now multiplying the highest exponent prime factors to calculate the LCM of 15536 and 15554.

LCM(15536,15554) = 2⁴ × 971¹ × 7¹ × 11¹ × 101¹
LCM(15536,15554) = 120823472