What is the Least Common Multiple of 61776 and 61782?

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 61776 and 61782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61776 and 61782, than apply into the LCM equation.

GCF(61776,61782) = 6
LCM(61776,61782) = ( 61776 × 61782) / 6
LCM(61776,61782) = 3816644832 / 6
LCM(61776,61782) = 636107472

Least Common Multiple (LCM) of 61776 and 61782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61776 and 61782. First we will calculate the prime factors of 61776 and 61782.

Prime Factorization of 61776

Prime Factorization of 61782

Now multiplying the highest exponent prime factors to calculate the LCM of 61776 and 61782.

LCM(61776,61782) = 2⁴ × 3³ × 11¹ × 13¹ × 7¹ × 1471¹
LCM(61776,61782) = 636107472