What is the Least Common Multiple of 18980 and 18985?

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 18980 and 18985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18980 and 18985, than apply into the LCM equation.

GCF(18980,18985) = 5
LCM(18980,18985) = ( 18980 × 18985) / 5
LCM(18980,18985) = 360335300 / 5
LCM(18980,18985) = 72067060

Least Common Multiple (LCM) of 18980 and 18985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18980 and 18985. First we will calculate the prime factors of 18980 and 18985.

Prime Factorization of 18980

Prime Factorization of 18985

Now multiplying the highest exponent prime factors to calculate the LCM of 18980 and 18985.

LCM(18980,18985) = 2² × 5¹ × 13¹ × 73¹ × 3797¹
LCM(18980,18985) = 72067060