What is the Least Common Multiple of 81496 and 81515?

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 81496 and 81515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81496 and 81515, than apply into the LCM equation.

GCF(81496,81515) = 1
LCM(81496,81515) = ( 81496 × 81515) / 1
LCM(81496,81515) = 6643146440 / 1
LCM(81496,81515) = 6643146440

Least Common Multiple (LCM) of 81496 and 81515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81496 and 81515. First we will calculate the prime factors of 81496 and 81515.

Prime Factorization of 81496

Prime Factorization of 81515

Now multiplying the highest exponent prime factors to calculate the LCM of 81496 and 81515.

LCM(81496,81515) = 2³ × 61¹ × 167¹ × 5¹ × 7¹ × 17¹ × 137¹
LCM(81496,81515) = 6643146440