What is the Least Common Multiple of 3236 and 3251?

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 3236 and 3251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3236 and 3251, than apply into the LCM equation.

GCF(3236,3251) = 1
LCM(3236,3251) = ( 3236 × 3251) / 1
LCM(3236,3251) = 10520236 / 1
LCM(3236,3251) = 10520236

Least Common Multiple (LCM) of 3236 and 3251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3236 and 3251. First we will calculate the prime factors of 3236 and 3251.

Prime Factorization of 3236

Prime Factorization of 3251

Now multiplying the highest exponent prime factors to calculate the LCM of 3236 and 3251.

LCM(3236,3251) = 2² × 809¹ × 3251¹
LCM(3236,3251) = 10520236