What is the Least Common Multiple of 21770 and 21776?

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 21770 and 21776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21770 and 21776, than apply into the LCM equation.

GCF(21770,21776) = 2
LCM(21770,21776) = ( 21770 × 21776) / 2
LCM(21770,21776) = 474063520 / 2
LCM(21770,21776) = 237031760

Least Common Multiple (LCM) of 21770 and 21776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21770 and 21776. First we will calculate the prime factors of 21770 and 21776.

Prime Factorization of 21770

Prime Factorization of 21776

Now multiplying the highest exponent prime factors to calculate the LCM of 21770 and 21776.

LCM(21770,21776) = 2⁴ × 5¹ × 7¹ × 311¹ × 1361¹
LCM(21770,21776) = 237031760