What is the Least Common Multiple of 96614 and 96629?

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 96614 and 96629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96614 and 96629, than apply into the LCM equation.

GCF(96614,96629) = 1
LCM(96614,96629) = ( 96614 × 96629) / 1
LCM(96614,96629) = 9335714206 / 1
LCM(96614,96629) = 9335714206

Least Common Multiple (LCM) of 96614 and 96629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96614 and 96629. First we will calculate the prime factors of 96614 and 96629.

Prime Factorization of 96614

Prime Factorization of 96629

Now multiplying the highest exponent prime factors to calculate the LCM of 96614 and 96629.

LCM(96614,96629) = 2¹ × 7¹ × 67¹ × 103¹ × 13¹ × 7433¹
LCM(96614,96629) = 9335714206