What is the Least Common Multiple of 77275 and 77282?

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 77275 and 77282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77275 and 77282, than apply into the LCM equation.

GCF(77275,77282) = 1
LCM(77275,77282) = ( 77275 × 77282) / 1
LCM(77275,77282) = 5971966550 / 1
LCM(77275,77282) = 5971966550

Least Common Multiple (LCM) of 77275 and 77282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77275 and 77282. First we will calculate the prime factors of 77275 and 77282.

Prime Factorization of 77275

Prime Factorization of 77282

Now multiplying the highest exponent prime factors to calculate the LCM of 77275 and 77282.

LCM(77275,77282) = 5² × 11¹ × 281¹ × 2¹ × 17¹ × 2273¹
LCM(77275,77282) = 5971966550