What is the Least Common Multiple of 45965 and 45980?

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 45965 and 45980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45965 and 45980, than apply into the LCM equation.

GCF(45965,45980) = 5
LCM(45965,45980) = ( 45965 × 45980) / 5
LCM(45965,45980) = 2113470700 / 5
LCM(45965,45980) = 422694140

Least Common Multiple (LCM) of 45965 and 45980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45965 and 45980. First we will calculate the prime factors of 45965 and 45980.

Prime Factorization of 45965

Prime Factorization of 45980

Now multiplying the highest exponent prime factors to calculate the LCM of 45965 and 45980.

LCM(45965,45980) = 5¹ × 29¹ × 317¹ × 2² × 11² × 19¹
LCM(45965,45980) = 422694140