What is the Least Common Multiple of 40980 and 40993?

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 40980 and 40993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40980 and 40993, than apply into the LCM equation.

GCF(40980,40993) = 1
LCM(40980,40993) = ( 40980 × 40993) / 1
LCM(40980,40993) = 1679893140 / 1
LCM(40980,40993) = 1679893140

Least Common Multiple (LCM) of 40980 and 40993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40980 and 40993. First we will calculate the prime factors of 40980 and 40993.

Prime Factorization of 40980

Prime Factorization of 40993

Now multiplying the highest exponent prime factors to calculate the LCM of 40980 and 40993.

LCM(40980,40993) = 2² × 3¹ × 5¹ × 683¹ × 40993¹
LCM(40980,40993) = 1679893140