What is the Least Common Multiple of 45980 and 45985?

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 45980 and 45985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45980 and 45985, than apply into the LCM equation.

GCF(45980,45985) = 5
LCM(45980,45985) = ( 45980 × 45985) / 5
LCM(45980,45985) = 2114390300 / 5
LCM(45980,45985) = 422878060

Least Common Multiple (LCM) of 45980 and 45985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45980 and 45985. First we will calculate the prime factors of 45980 and 45985.

Prime Factorization of 45980

Prime Factorization of 45985

Now multiplying the highest exponent prime factors to calculate the LCM of 45980 and 45985.

LCM(45980,45985) = 2² × 5¹ × 11² × 19¹ × 17¹ × 541¹
LCM(45980,45985) = 422878060