What is the Least Common Multiple of 20925 and 20945?

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 20925 and 20945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20925 and 20945, than apply into the LCM equation.

GCF(20925,20945) = 5
LCM(20925,20945) = ( 20925 × 20945) / 5
LCM(20925,20945) = 438274125 / 5
LCM(20925,20945) = 87654825

Least Common Multiple (LCM) of 20925 and 20945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20925 and 20945. First we will calculate the prime factors of 20925 and 20945.

Prime Factorization of 20925

Prime Factorization of 20945

Now multiplying the highest exponent prime factors to calculate the LCM of 20925 and 20945.

LCM(20925,20945) = 3³ × 5² × 31¹ × 59¹ × 71¹
LCM(20925,20945) = 87654825