What is the Least Common Multiple of 4246 and 4251?

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 4246 and 4251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4246 and 4251, than apply into the LCM equation.

GCF(4246,4251) = 1
LCM(4246,4251) = ( 4246 × 4251) / 1
LCM(4246,4251) = 18049746 / 1
LCM(4246,4251) = 18049746

Least Common Multiple (LCM) of 4246 and 4251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4246 and 4251. First we will calculate the prime factors of 4246 and 4251.

Prime Factorization of 4246

Prime Factorization of 4251

Now multiplying the highest exponent prime factors to calculate the LCM of 4246 and 4251.

LCM(4246,4251) = 2¹ × 11¹ × 193¹ × 3¹ × 13¹ × 109¹
LCM(4246,4251) = 18049746