What is the Least Common Multiple of 61776 and 61792?

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 61792 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 61792, than apply into the LCM equation.

GCF(61776,61792) = 16
LCM(61776,61792) = ( 61776 × 61792) / 16
LCM(61776,61792) = 3817262592 / 16
LCM(61776,61792) = 238578912

Least Common Multiple (LCM) of 61776 and 61792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61776 and 61792. First we will calculate the prime factors of 61776 and 61792.

Prime Factorization of 61776

Prime Factorization of 61792

Now multiplying the highest exponent prime factors to calculate the LCM of 61776 and 61792.

LCM(61776,61792) = 2⁵ × 3³ × 11¹ × 13¹ × 1931¹
LCM(61776,61792) = 238578912