What is the Least Common Multiple of 61884 and 61893?

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 61884 and 61893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61884 and 61893, than apply into the LCM equation.

GCF(61884,61893) = 9
LCM(61884,61893) = ( 61884 × 61893) / 9
LCM(61884,61893) = 3830186412 / 9
LCM(61884,61893) = 425576268

Least Common Multiple (LCM) of 61884 and 61893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61884 and 61893. First we will calculate the prime factors of 61884 and 61893.

Prime Factorization of 61884

Prime Factorization of 61893

Now multiplying the highest exponent prime factors to calculate the LCM of 61884 and 61893.

LCM(61884,61893) = 2² × 3⁴ × 191¹ × 13¹ × 23²
LCM(61884,61893) = 425576268