What is the Least Common Multiple of 96642 and 96650?

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 96642 and 96650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96642 and 96650, than apply into the LCM equation.

GCF(96642,96650) = 2
LCM(96642,96650) = ( 96642 × 96650) / 2
LCM(96642,96650) = 9340449300 / 2
LCM(96642,96650) = 4670224650

Least Common Multiple (LCM) of 96642 and 96650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96642 and 96650. First we will calculate the prime factors of 96642 and 96650.

Prime Factorization of 96642

Prime Factorization of 96650

Now multiplying the highest exponent prime factors to calculate the LCM of 96642 and 96650.

LCM(96642,96650) = 2¹ × 3² × 7¹ × 13¹ × 59¹ × 5² × 1933¹
LCM(96642,96650) = 4670224650