What is the Least Common Multiple of 32234 and 32253?

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 32234 and 32253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32234 and 32253, than apply into the LCM equation.

GCF(32234,32253) = 1
LCM(32234,32253) = ( 32234 × 32253) / 1
LCM(32234,32253) = 1039643202 / 1
LCM(32234,32253) = 1039643202

Least Common Multiple (LCM) of 32234 and 32253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32234 and 32253. First we will calculate the prime factors of 32234 and 32253.

Prime Factorization of 32234

Prime Factorization of 32253

Now multiplying the highest exponent prime factors to calculate the LCM of 32234 and 32253.

LCM(32234,32253) = 2¹ × 71¹ × 227¹ × 3¹ × 13¹ × 827¹
LCM(32234,32253) = 1039643202