What is the Least Common Multiple of 71236 and 71251?

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 71236 and 71251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71236 and 71251, than apply into the LCM equation.

GCF(71236,71251) = 1
LCM(71236,71251) = ( 71236 × 71251) / 1
LCM(71236,71251) = 5075636236 / 1
LCM(71236,71251) = 5075636236

Least Common Multiple (LCM) of 71236 and 71251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71236 and 71251. First we will calculate the prime factors of 71236 and 71251.

Prime Factorization of 71236

Prime Factorization of 71251

Now multiplying the highest exponent prime factors to calculate the LCM of 71236 and 71251.

LCM(71236,71251) = 2² × 11¹ × 1619¹ × 43¹ × 1657¹
LCM(71236,71251) = 5075636236