What is the Least Common Multiple of 68925 and 68932?

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 68925 and 68932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68925 and 68932, than apply into the LCM equation.

GCF(68925,68932) = 1
LCM(68925,68932) = ( 68925 × 68932) / 1
LCM(68925,68932) = 4751138100 / 1
LCM(68925,68932) = 4751138100

Least Common Multiple (LCM) of 68925 and 68932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68925 and 68932. First we will calculate the prime factors of 68925 and 68932.

Prime Factorization of 68925

Prime Factorization of 68932

Now multiplying the highest exponent prime factors to calculate the LCM of 68925 and 68932.

LCM(68925,68932) = 3¹ × 5² × 919¹ × 2² × 19¹ × 907¹
LCM(68925,68932) = 4751138100