What is the Least Common Multiple of 61923 and 61940?

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 61940 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 61940, than apply into the LCM equation.

GCF(61923,61940) = 1
LCM(61923,61940) = ( 61923 × 61940) / 1
LCM(61923,61940) = 3835510620 / 1
LCM(61923,61940) = 3835510620

Least Common Multiple (LCM) of 61923 and 61940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61923 and 61940. First we will calculate the prime factors of 61923 and 61940.

Prime Factorization of 61923

Prime Factorization of 61940

Now multiplying the highest exponent prime factors to calculate the LCM of 61923 and 61940.

LCM(61923,61940) = 3¹ × 20641¹ × 2² × 5¹ × 19¹ × 163¹
LCM(61923,61940) = 3835510620