What is the Least Common Multiple of 21776 and 21795?

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 21776 and 21795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21776 and 21795, than apply into the LCM equation.

GCF(21776,21795) = 1
LCM(21776,21795) = ( 21776 × 21795) / 1
LCM(21776,21795) = 474607920 / 1
LCM(21776,21795) = 474607920

Least Common Multiple (LCM) of 21776 and 21795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21776 and 21795. First we will calculate the prime factors of 21776 and 21795.

Prime Factorization of 21776

Prime Factorization of 21795

Now multiplying the highest exponent prime factors to calculate the LCM of 21776 and 21795.

LCM(21776,21795) = 2⁴ × 1361¹ × 3¹ × 5¹ × 1453¹
LCM(21776,21795) = 474607920