What is the Least Common Multiple of 32788 and 32798?

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 32788 and 32798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32788 and 32798, than apply into the LCM equation.

GCF(32788,32798) = 2
LCM(32788,32798) = ( 32788 × 32798) / 2
LCM(32788,32798) = 1075380824 / 2
LCM(32788,32798) = 537690412

Least Common Multiple (LCM) of 32788 and 32798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32788 and 32798. First we will calculate the prime factors of 32788 and 32798.

Prime Factorization of 32788

Prime Factorization of 32798

Now multiplying the highest exponent prime factors to calculate the LCM of 32788 and 32798.

LCM(32788,32798) = 2² × 7¹ × 1171¹ × 23² × 31¹
LCM(32788,32798) = 537690412