What is the Least Common Multiple of 32253 and 32261?

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 32253 and 32261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32253 and 32261, than apply into the LCM equation.

GCF(32253,32261) = 1
LCM(32253,32261) = ( 32253 × 32261) / 1
LCM(32253,32261) = 1040514033 / 1
LCM(32253,32261) = 1040514033

Least Common Multiple (LCM) of 32253 and 32261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32253 and 32261. First we will calculate the prime factors of 32253 and 32261.

Prime Factorization of 32253

Prime Factorization of 32261

Now multiplying the highest exponent prime factors to calculate the LCM of 32253 and 32261.

LCM(32253,32261) = 3¹ × 13¹ × 827¹ × 32261¹
LCM(32253,32261) = 1040514033