What is the Least Common Multiple of 67768 and 67781?

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 67768 and 67781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67768 and 67781, than apply into the LCM equation.

GCF(67768,67781) = 1
LCM(67768,67781) = ( 67768 × 67781) / 1
LCM(67768,67781) = 4593382808 / 1
LCM(67768,67781) = 4593382808

Least Common Multiple (LCM) of 67768 and 67781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67768 and 67781. First we will calculate the prime factors of 67768 and 67781.

Prime Factorization of 67768

Prime Factorization of 67781

Now multiplying the highest exponent prime factors to calculate the LCM of 67768 and 67781.

LCM(67768,67781) = 2³ × 43¹ × 197¹ × 7¹ × 23¹ × 421¹
LCM(67768,67781) = 4593382808