What is the Least Common Multiple of 61872 and 61884?

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 61872 and 61884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61872 and 61884, than apply into the LCM equation.

GCF(61872,61884) = 12
LCM(61872,61884) = ( 61872 × 61884) / 12
LCM(61872,61884) = 3828886848 / 12
LCM(61872,61884) = 319073904

Least Common Multiple (LCM) of 61872 and 61884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61872 and 61884. First we will calculate the prime factors of 61872 and 61884.

Prime Factorization of 61872

Prime Factorization of 61884

Now multiplying the highest exponent prime factors to calculate the LCM of 61872 and 61884.

LCM(61872,61884) = 2⁴ × 3⁴ × 1289¹ × 191¹
LCM(61872,61884) = 319073904