What is the Least Common Multiple of 78958 and 78968?

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 78958 and 78968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78958 and 78968, than apply into the LCM equation.

GCF(78958,78968) = 2
LCM(78958,78968) = ( 78958 × 78968) / 2
LCM(78958,78968) = 6235155344 / 2
LCM(78958,78968) = 3117577672

Least Common Multiple (LCM) of 78958 and 78968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78958 and 78968. First we will calculate the prime factors of 78958 and 78968.

Prime Factorization of 78958

Prime Factorization of 78968

Now multiplying the highest exponent prime factors to calculate the LCM of 78958 and 78968.

LCM(78958,78968) = 2³ × 11¹ × 37¹ × 97¹ × 9871¹
LCM(78958,78968) = 3117577672