What is the Least Common Multiple of 61854 and 61864?

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 61854 and 61864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61854 and 61864, than apply into the LCM equation.

GCF(61854,61864) = 2
LCM(61854,61864) = ( 61854 × 61864) / 2
LCM(61854,61864) = 3826535856 / 2
LCM(61854,61864) = 1913267928

Least Common Multiple (LCM) of 61854 and 61864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61854 and 61864. First we will calculate the prime factors of 61854 and 61864.

Prime Factorization of 61854

Prime Factorization of 61864

Now multiplying the highest exponent prime factors to calculate the LCM of 61854 and 61864.

LCM(61854,61864) = 2³ × 3¹ × 13² × 61¹ × 11¹ × 19¹ × 37¹
LCM(61854,61864) = 1913267928