What is the Least Common Multiple of 15490 and 15495?

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 15490 and 15495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15490 and 15495, than apply into the LCM equation.

GCF(15490,15495) = 5
LCM(15490,15495) = ( 15490 × 15495) / 5
LCM(15490,15495) = 240017550 / 5
LCM(15490,15495) = 48003510

Least Common Multiple (LCM) of 15490 and 15495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15490 and 15495. First we will calculate the prime factors of 15490 and 15495.

Prime Factorization of 15490

Prime Factorization of 15495

Now multiplying the highest exponent prime factors to calculate the LCM of 15490 and 15495.

LCM(15490,15495) = 2¹ × 5¹ × 1549¹ × 3¹ × 1033¹
LCM(15490,15495) = 48003510