What is the Least Common Multiple of 93274 and 93280?

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 93274 and 93280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93274 and 93280, than apply into the LCM equation.

GCF(93274,93280) = 2
LCM(93274,93280) = ( 93274 × 93280) / 2
LCM(93274,93280) = 8700598720 / 2
LCM(93274,93280) = 4350299360

Least Common Multiple (LCM) of 93274 and 93280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93274 and 93280. First we will calculate the prime factors of 93274 and 93280.

Prime Factorization of 93274

Prime Factorization of 93280

Now multiplying the highest exponent prime factors to calculate the LCM of 93274 and 93280.

LCM(93274,93280) = 2⁵ × 149¹ × 313¹ × 5¹ × 11¹ × 53¹
LCM(93274,93280) = 4350299360