What is the Least Common Multiple of 20945 and 20955?

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 20945 and 20955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20945 and 20955, than apply into the LCM equation.

GCF(20945,20955) = 5
LCM(20945,20955) = ( 20945 × 20955) / 5
LCM(20945,20955) = 438902475 / 5
LCM(20945,20955) = 87780495

Least Common Multiple (LCM) of 20945 and 20955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20945 and 20955. First we will calculate the prime factors of 20945 and 20955.

Prime Factorization of 20945

Prime Factorization of 20955

Now multiplying the highest exponent prime factors to calculate the LCM of 20945 and 20955.

LCM(20945,20955) = 5¹ × 59¹ × 71¹ × 3¹ × 11¹ × 127¹
LCM(20945,20955) = 87780495