What is the Least Common Multiple of 7228 and 7246?

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 7228 and 7246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7228 and 7246, than apply into the LCM equation.

GCF(7228,7246) = 2
LCM(7228,7246) = ( 7228 × 7246) / 2
LCM(7228,7246) = 52374088 / 2
LCM(7228,7246) = 26187044

Least Common Multiple (LCM) of 7228 and 7246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7228 and 7246. First we will calculate the prime factors of 7228 and 7246.

Prime Factorization of 7228

Prime Factorization of 7246

Now multiplying the highest exponent prime factors to calculate the LCM of 7228 and 7246.

LCM(7228,7246) = 2² × 13¹ × 139¹ × 3623¹
LCM(7228,7246) = 26187044