What is the Least Common Multiple of 32972 and 32986?

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 32972 and 32986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32972 and 32986, than apply into the LCM equation.

GCF(32972,32986) = 2
LCM(32972,32986) = ( 32972 × 32986) / 2
LCM(32972,32986) = 1087614392 / 2
LCM(32972,32986) = 543807196

Least Common Multiple (LCM) of 32972 and 32986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32972 and 32986. First we will calculate the prime factors of 32972 and 32986.

Prime Factorization of 32972

Prime Factorization of 32986

Now multiplying the highest exponent prime factors to calculate the LCM of 32972 and 32986.

LCM(32972,32986) = 2² × 8243¹ × 16493¹
LCM(32972,32986) = 543807196