What is the Least Common Multiple of 27919 and 27935?

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 27919 and 27935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27919 and 27935, than apply into the LCM equation.

GCF(27919,27935) = 1
LCM(27919,27935) = ( 27919 × 27935) / 1
LCM(27919,27935) = 779917265 / 1
LCM(27919,27935) = 779917265

Least Common Multiple (LCM) of 27919 and 27935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27919 and 27935. First we will calculate the prime factors of 27919 and 27935.

Prime Factorization of 27919

Prime Factorization of 27935

Now multiplying the highest exponent prime factors to calculate the LCM of 27919 and 27935.

LCM(27919,27935) = 27919¹ × 5¹ × 37¹ × 151¹
LCM(27919,27935) = 779917265