What is the Least Common Multiple of 96614 and 96630?

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 96630 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 96630, than apply into the LCM equation.

GCF(96614,96630) = 2
LCM(96614,96630) = ( 96614 × 96630) / 2
LCM(96614,96630) = 9335810820 / 2
LCM(96614,96630) = 4667905410

Least Common Multiple (LCM) of 96614 and 96630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96614 and 96630. First we will calculate the prime factors of 96614 and 96630.

Prime Factorization of 96614

Prime Factorization of 96630

Now multiplying the highest exponent prime factors to calculate the LCM of 96614 and 96630.

LCM(96614,96630) = 2¹ × 7¹ × 67¹ × 103¹ × 3¹ × 5¹ × 3221¹
LCM(96614,96630) = 4667905410