What is the Least Common Multiple of 76939 and 76958?

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 76939 and 76958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76939 and 76958, than apply into the LCM equation.

GCF(76939,76958) = 1
LCM(76939,76958) = ( 76939 × 76958) / 1
LCM(76939,76958) = 5921071562 / 1
LCM(76939,76958) = 5921071562

Least Common Multiple (LCM) of 76939 and 76958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76939 and 76958. First we will calculate the prime factors of 76939 and 76958.

Prime Factorization of 76939

Prime Factorization of 76958

Now multiplying the highest exponent prime factors to calculate the LCM of 76939 and 76958.

LCM(76939,76958) = 47¹ × 1637¹ × 2¹ × 7¹ × 23¹ × 239¹
LCM(76939,76958) = 5921071562