What is the Least Common Multiple of 60938 and 60958?

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 60938 and 60958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60938 and 60958, than apply into the LCM equation.

GCF(60938,60958) = 2
LCM(60938,60958) = ( 60938 × 60958) / 2
LCM(60938,60958) = 3714658604 / 2
LCM(60938,60958) = 1857329302

Least Common Multiple (LCM) of 60938 and 60958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60938 and 60958. First we will calculate the prime factors of 60938 and 60958.

Prime Factorization of 60938

Prime Factorization of 60958

Now multiplying the highest exponent prime factors to calculate the LCM of 60938 and 60958.

LCM(60938,60958) = 2¹ × 30469¹ × 29¹ × 1051¹
LCM(60938,60958) = 1857329302