What is the Least Common Multiple of 18945 and 18956?

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 18945 and 18956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18945 and 18956, than apply into the LCM equation.

GCF(18945,18956) = 1
LCM(18945,18956) = ( 18945 × 18956) / 1
LCM(18945,18956) = 359121420 / 1
LCM(18945,18956) = 359121420

Least Common Multiple (LCM) of 18945 and 18956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18945 and 18956. First we will calculate the prime factors of 18945 and 18956.

Prime Factorization of 18945

Prime Factorization of 18956

Now multiplying the highest exponent prime factors to calculate the LCM of 18945 and 18956.

LCM(18945,18956) = 3² × 5¹ × 421¹ × 2² × 7¹ × 677¹
LCM(18945,18956) = 359121420