What is the Least Common Multiple of 32248 and 32252?

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 32248 and 32252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32248 and 32252, than apply into the LCM equation.

GCF(32248,32252) = 4
LCM(32248,32252) = ( 32248 × 32252) / 4
LCM(32248,32252) = 1040062496 / 4
LCM(32248,32252) = 260015624

Least Common Multiple (LCM) of 32248 and 32252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32248 and 32252. First we will calculate the prime factors of 32248 and 32252.

Prime Factorization of 32248

Prime Factorization of 32252

Now multiplying the highest exponent prime factors to calculate the LCM of 32248 and 32252.

LCM(32248,32252) = 2³ × 29¹ × 139¹ × 11¹ × 733¹
LCM(32248,32252) = 260015624