What is the Least Common Multiple of 77274 and 77280?

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 77274 and 77280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77274 and 77280, than apply into the LCM equation.

GCF(77274,77280) = 6
LCM(77274,77280) = ( 77274 × 77280) / 6
LCM(77274,77280) = 5971734720 / 6
LCM(77274,77280) = 995289120

Least Common Multiple (LCM) of 77274 and 77280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77274 and 77280. First we will calculate the prime factors of 77274 and 77280.

Prime Factorization of 77274

Prime Factorization of 77280

Now multiplying the highest exponent prime factors to calculate the LCM of 77274 and 77280.

LCM(77274,77280) = 2⁵ × 3⁶ × 53¹ × 5¹ × 7¹ × 23¹
LCM(77274,77280) = 995289120