What is the Least Common Multiple of 61884 and 61899?

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 61899 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 61899, than apply into the LCM equation.

GCF(61884,61899) = 3
LCM(61884,61899) = ( 61884 × 61899) / 3
LCM(61884,61899) = 3830557716 / 3
LCM(61884,61899) = 1276852572

Least Common Multiple (LCM) of 61884 and 61899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61884 and 61899. First we will calculate the prime factors of 61884 and 61899.

Prime Factorization of 61884

Prime Factorization of 61899

Now multiplying the highest exponent prime factors to calculate the LCM of 61884 and 61899.

LCM(61884,61899) = 2² × 3⁴ × 191¹ × 47¹ × 439¹
LCM(61884,61899) = 1276852572