What is the Least Common Multiple of 27962 and 27967?

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 27962 and 27967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27962 and 27967, than apply into the LCM equation.

GCF(27962,27967) = 1
LCM(27962,27967) = ( 27962 × 27967) / 1
LCM(27962,27967) = 782013254 / 1
LCM(27962,27967) = 782013254

Least Common Multiple (LCM) of 27962 and 27967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27962 and 27967. First we will calculate the prime factors of 27962 and 27967.

Prime Factorization of 27962

Prime Factorization of 27967

Now multiplying the highest exponent prime factors to calculate the LCM of 27962 and 27967.

LCM(27962,27967) = 2¹ × 11¹ × 31¹ × 41¹ × 27967¹
LCM(27962,27967) = 782013254