What is the Least Common Multiple of 7214 and 7234?

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 7214 and 7234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7214 and 7234, than apply into the LCM equation.

GCF(7214,7234) = 2
LCM(7214,7234) = ( 7214 × 7234) / 2
LCM(7214,7234) = 52186076 / 2
LCM(7214,7234) = 26093038

Least Common Multiple (LCM) of 7214 and 7234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7214 and 7234. First we will calculate the prime factors of 7214 and 7234.

Prime Factorization of 7214

Prime Factorization of 7234

Now multiplying the highest exponent prime factors to calculate the LCM of 7214 and 7234.

LCM(7214,7234) = 2¹ × 3607¹ × 3617¹
LCM(7214,7234) = 26093038