What is the Least Common Multiple of 68980 and 68993?

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 68980 and 68993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68980 and 68993, than apply into the LCM equation.

GCF(68980,68993) = 1
LCM(68980,68993) = ( 68980 × 68993) / 1
LCM(68980,68993) = 4759137140 / 1
LCM(68980,68993) = 4759137140

Least Common Multiple (LCM) of 68980 and 68993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68980 and 68993. First we will calculate the prime factors of 68980 and 68993.

Prime Factorization of 68980

Prime Factorization of 68993

Now multiplying the highest exponent prime factors to calculate the LCM of 68980 and 68993.

LCM(68980,68993) = 2² × 5¹ × 3449¹ × 68993¹
LCM(68980,68993) = 4759137140