What is the Least Common Multiple of 27768 and 27780?

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 27780 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 27780, than apply into the LCM equation.

GCF(27768,27780) = 12
LCM(27768,27780) = ( 27768 × 27780) / 12
LCM(27768,27780) = 771395040 / 12
LCM(27768,27780) = 64282920

Least Common Multiple (LCM) of 27768 and 27780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27768 and 27780. First we will calculate the prime factors of 27768 and 27780.

Prime Factorization of 27768

Prime Factorization of 27780

Now multiplying the highest exponent prime factors to calculate the LCM of 27768 and 27780.

LCM(27768,27780) = 2³ × 3¹ × 13¹ × 89¹ × 5¹ × 463¹
LCM(27768,27780) = 64282920