What is the Least Common Multiple of 77308 and 77315?

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 77308 and 77315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77308 and 77315, than apply into the LCM equation.

GCF(77308,77315) = 7
LCM(77308,77315) = ( 77308 × 77315) / 7
LCM(77308,77315) = 5977068020 / 7
LCM(77308,77315) = 853866860

Least Common Multiple (LCM) of 77308 and 77315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77308 and 77315. First we will calculate the prime factors of 77308 and 77315.

Prime Factorization of 77308

Prime Factorization of 77315

Now multiplying the highest exponent prime factors to calculate the LCM of 77308 and 77315.

LCM(77308,77315) = 2² × 7¹ × 11¹ × 251¹ × 5¹ × 47²
LCM(77308,77315) = 853866860