What is the Least Common Multiple of 40989 and 41002?

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 40989 and 41002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40989 and 41002, than apply into the LCM equation.

GCF(40989,41002) = 13
LCM(40989,41002) = ( 40989 × 41002) / 13
LCM(40989,41002) = 1680630978 / 13
LCM(40989,41002) = 129279306

Least Common Multiple (LCM) of 40989 and 41002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40989 and 41002. First we will calculate the prime factors of 40989 and 41002.

Prime Factorization of 40989

Prime Factorization of 41002

Now multiplying the highest exponent prime factors to calculate the LCM of 40989 and 41002.

LCM(40989,41002) = 3¹ × 13¹ × 1051¹ × 2¹ × 19¹ × 83¹
LCM(40989,41002) = 129279306