What is the Least Common Multiple of 27964 and 27971?

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 27964 and 27971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27964 and 27971, than apply into the LCM equation.

GCF(27964,27971) = 1
LCM(27964,27971) = ( 27964 × 27971) / 1
LCM(27964,27971) = 782181044 / 1
LCM(27964,27971) = 782181044

Least Common Multiple (LCM) of 27964 and 27971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27964 and 27971. First we will calculate the prime factors of 27964 and 27971.

Prime Factorization of 27964

Prime Factorization of 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 27964 and 27971.

LCM(27964,27971) = 2² × 6991¹ × 83¹ × 337¹
LCM(27964,27971) = 782181044