What is the Least Common Multiple of 32619 and 32632?

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 32619 and 32632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32619 and 32632, than apply into the LCM equation.

GCF(32619,32632) = 1
LCM(32619,32632) = ( 32619 × 32632) / 1
LCM(32619,32632) = 1064423208 / 1
LCM(32619,32632) = 1064423208

Least Common Multiple (LCM) of 32619 and 32632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32619 and 32632. First we will calculate the prime factors of 32619 and 32632.

Prime Factorization of 32619

Prime Factorization of 32632

Now multiplying the highest exponent prime factors to calculate the LCM of 32619 and 32632.

LCM(32619,32632) = 3¹ × 83¹ × 131¹ × 2³ × 4079¹
LCM(32619,32632) = 1064423208