What is the Least Common Multiple of 96636 and 96649?

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 96636 and 96649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96636 and 96649, than apply into the LCM equation.

GCF(96636,96649) = 1
LCM(96636,96649) = ( 96636 × 96649) / 1
LCM(96636,96649) = 9339772764 / 1
LCM(96636,96649) = 9339772764

Least Common Multiple (LCM) of 96636 and 96649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96636 and 96649. First we will calculate the prime factors of 96636 and 96649.

Prime Factorization of 96636

Prime Factorization of 96649

Now multiplying the highest exponent prime factors to calculate the LCM of 96636 and 96649.

LCM(96636,96649) = 2² × 3¹ × 8053¹ × 7¹ × 13807¹
LCM(96636,96649) = 9339772764