What is the Least Common Multiple of 87490 and 87503?

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 87490 and 87503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87490 and 87503, than apply into the LCM equation.

GCF(87490,87503) = 13
LCM(87490,87503) = ( 87490 × 87503) / 13
LCM(87490,87503) = 7655637470 / 13
LCM(87490,87503) = 588895190

Least Common Multiple (LCM) of 87490 and 87503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87490 and 87503. First we will calculate the prime factors of 87490 and 87503.

Prime Factorization of 87490

Prime Factorization of 87503

Now multiplying the highest exponent prime factors to calculate the LCM of 87490 and 87503.

LCM(87490,87503) = 2¹ × 5¹ × 13¹ × 673¹ × 53¹ × 127¹
LCM(87490,87503) = 588895190