What is the Least Common Multiple of 61923 and 61935?

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 61923 and 61935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61923 and 61935, than apply into the LCM equation.

GCF(61923,61935) = 3
LCM(61923,61935) = ( 61923 × 61935) / 3
LCM(61923,61935) = 3835201005 / 3
LCM(61923,61935) = 1278400335

Least Common Multiple (LCM) of 61923 and 61935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61923 and 61935. First we will calculate the prime factors of 61923 and 61935.

Prime Factorization of 61923

Prime Factorization of 61935

Now multiplying the highest exponent prime factors to calculate the LCM of 61923 and 61935.

LCM(61923,61935) = 3¹ × 20641¹ × 5¹ × 4129¹
LCM(61923,61935) = 1278400335