What is the Least Common Multiple of 40974 and 40989?

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 40974 and 40989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40974 and 40989, than apply into the LCM equation.

GCF(40974,40989) = 3
LCM(40974,40989) = ( 40974 × 40989) / 3
LCM(40974,40989) = 1679483286 / 3
LCM(40974,40989) = 559827762

Least Common Multiple (LCM) of 40974 and 40989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40974 and 40989. First we will calculate the prime factors of 40974 and 40989.

Prime Factorization of 40974

Prime Factorization of 40989

Now multiplying the highest exponent prime factors to calculate the LCM of 40974 and 40989.

LCM(40974,40989) = 2¹ × 3¹ × 6829¹ × 13¹ × 1051¹
LCM(40974,40989) = 559827762