What is the Least Common Multiple of 20976 and 20985?

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 20976 and 20985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20976 and 20985, than apply into the LCM equation.

GCF(20976,20985) = 3
LCM(20976,20985) = ( 20976 × 20985) / 3
LCM(20976,20985) = 440181360 / 3
LCM(20976,20985) = 146727120

Least Common Multiple (LCM) of 20976 and 20985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20976 and 20985. First we will calculate the prime factors of 20976 and 20985.

Prime Factorization of 20976

Prime Factorization of 20985

Now multiplying the highest exponent prime factors to calculate the LCM of 20976 and 20985.

LCM(20976,20985) = 2⁴ × 3¹ × 19¹ × 23¹ × 5¹ × 1399¹
LCM(20976,20985) = 146727120