What is the Least Common Multiple of 87490 and 87507?

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 87507 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 87507, than apply into the LCM equation.

GCF(87490,87507) = 1
LCM(87490,87507) = ( 87490 × 87507) / 1
LCM(87490,87507) = 7655987430 / 1
LCM(87490,87507) = 7655987430

Least Common Multiple (LCM) of 87490 and 87507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87490 and 87507. First we will calculate the prime factors of 87490 and 87507.

Prime Factorization of 87490

Prime Factorization of 87507

Now multiplying the highest exponent prime factors to calculate the LCM of 87490 and 87507.

LCM(87490,87507) = 2¹ × 5¹ × 13¹ × 673¹ × 3³ × 7¹ × 463¹
LCM(87490,87507) = 7655987430