What is the Least Common Multiple of 32642 and 32648?

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 32642 and 32648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32642 and 32648, than apply into the LCM equation.

GCF(32642,32648) = 2
LCM(32642,32648) = ( 32642 × 32648) / 2
LCM(32642,32648) = 1065696016 / 2
LCM(32642,32648) = 532848008

Least Common Multiple (LCM) of 32642 and 32648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32642 and 32648. First we will calculate the prime factors of 32642 and 32648.

Prime Factorization of 32642

Prime Factorization of 32648

Now multiplying the highest exponent prime factors to calculate the LCM of 32642 and 32648.

LCM(32642,32648) = 2³ × 19¹ × 859¹ × 7¹ × 11¹ × 53¹
LCM(32642,32648) = 532848008