What is the Least Common Multiple of 27768 and 27776?

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 27768 and 27776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27768 and 27776, than apply into the LCM equation.

GCF(27768,27776) = 8
LCM(27768,27776) = ( 27768 × 27776) / 8
LCM(27768,27776) = 771283968 / 8
LCM(27768,27776) = 96410496

Least Common Multiple (LCM) of 27768 and 27776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27768 and 27776. First we will calculate the prime factors of 27768 and 27776.

Prime Factorization of 27768

Prime Factorization of 27776

Now multiplying the highest exponent prime factors to calculate the LCM of 27768 and 27776.

LCM(27768,27776) = 2⁷ × 3¹ × 13¹ × 89¹ × 7¹ × 31¹
LCM(27768,27776) = 96410496