What is the Least Common Multiple of 61944 and 61956?

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 61944 and 61956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61944 and 61956, than apply into the LCM equation.

GCF(61944,61956) = 12
LCM(61944,61956) = ( 61944 × 61956) / 12
LCM(61944,61956) = 3837802464 / 12
LCM(61944,61956) = 319816872

Least Common Multiple (LCM) of 61944 and 61956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61944 and 61956. First we will calculate the prime factors of 61944 and 61956.

Prime Factorization of 61944

Prime Factorization of 61956

Now multiplying the highest exponent prime factors to calculate the LCM of 61944 and 61956.

LCM(61944,61956) = 2³ × 3² × 29¹ × 89¹ × 1721¹
LCM(61944,61956) = 319816872