What is the Least Common Multiple of 26768 and 26776?

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 26768 and 26776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26768 and 26776, than apply into the LCM equation.

GCF(26768,26776) = 8
LCM(26768,26776) = ( 26768 × 26776) / 8
LCM(26768,26776) = 716739968 / 8
LCM(26768,26776) = 89592496

Least Common Multiple (LCM) of 26768 and 26776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26768 and 26776. First we will calculate the prime factors of 26768 and 26776.

Prime Factorization of 26768

Prime Factorization of 26776

Now multiplying the highest exponent prime factors to calculate the LCM of 26768 and 26776.

LCM(26768,26776) = 2⁴ × 7¹ × 239¹ × 3347¹
LCM(26768,26776) = 89592496