What is the Least Common Multiple of 78957 and 78971?

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 78957 and 78971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78957 and 78971, than apply into the LCM equation.

GCF(78957,78971) = 1
LCM(78957,78971) = ( 78957 × 78971) / 1
LCM(78957,78971) = 6235313247 / 1
LCM(78957,78971) = 6235313247

Least Common Multiple (LCM) of 78957 and 78971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78957 and 78971. First we will calculate the prime factors of 78957 and 78971.

Prime Factorization of 78957

Prime Factorization of 78971

Now multiplying the highest exponent prime factors to calculate the LCM of 78957 and 78971.

LCM(78957,78971) = 3² × 31¹ × 283¹ × 157¹ × 503¹
LCM(78957,78971) = 6235313247