What is the Least Common Multiple of 7266 and 7274?

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 7266 and 7274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7266 and 7274, than apply into the LCM equation.

GCF(7266,7274) = 2
LCM(7266,7274) = ( 7266 × 7274) / 2
LCM(7266,7274) = 52852884 / 2
LCM(7266,7274) = 26426442

Least Common Multiple (LCM) of 7266 and 7274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7266 and 7274. First we will calculate the prime factors of 7266 and 7274.

Prime Factorization of 7266

Prime Factorization of 7274

Now multiplying the highest exponent prime factors to calculate the LCM of 7266 and 7274.

LCM(7266,7274) = 2¹ × 3¹ × 7¹ × 173¹ × 3637¹
LCM(7266,7274) = 26426442