What is the Least Common Multiple of 67776 and 67792?

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 67776 and 67792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67776 and 67792, than apply into the LCM equation.

GCF(67776,67792) = 16
LCM(67776,67792) = ( 67776 × 67792) / 16
LCM(67776,67792) = 4594670592 / 16
LCM(67776,67792) = 287166912

Least Common Multiple (LCM) of 67776 and 67792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67776 and 67792. First we will calculate the prime factors of 67776 and 67792.

Prime Factorization of 67776

Prime Factorization of 67792

Now multiplying the highest exponent prime factors to calculate the LCM of 67776 and 67792.

LCM(67776,67792) = 2⁶ × 3¹ × 353¹ × 19¹ × 223¹
LCM(67776,67792) = 287166912