What is the Least Common Multiple of 87472 and 87490?

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 87472 and 87490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87472 and 87490, than apply into the LCM equation.

GCF(87472,87490) = 2
LCM(87472,87490) = ( 87472 × 87490) / 2
LCM(87472,87490) = 7652925280 / 2
LCM(87472,87490) = 3826462640

Least Common Multiple (LCM) of 87472 and 87490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87472 and 87490. First we will calculate the prime factors of 87472 and 87490.

Prime Factorization of 87472

Prime Factorization of 87490

Now multiplying the highest exponent prime factors to calculate the LCM of 87472 and 87490.

LCM(87472,87490) = 2⁴ × 7¹ × 11¹ × 71¹ × 5¹ × 13¹ × 673¹
LCM(87472,87490) = 3826462640