What is the Least Common Multiple of 67938 and 67958?

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 67938 and 67958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67938 and 67958, than apply into the LCM equation.

GCF(67938,67958) = 2
LCM(67938,67958) = ( 67938 × 67958) / 2
LCM(67938,67958) = 4616930604 / 2
LCM(67938,67958) = 2308465302

Least Common Multiple (LCM) of 67938 and 67958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67938 and 67958. First we will calculate the prime factors of 67938 and 67958.

Prime Factorization of 67938

Prime Factorization of 67958

Now multiplying the highest exponent prime factors to calculate the LCM of 67938 and 67958.

LCM(67938,67958) = 2¹ × 3¹ × 13² × 67¹ × 11¹ × 3089¹
LCM(67938,67958) = 2308465302