What is the Least Common Multiple of 18760 and 18770?

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 18760 and 18770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18760 and 18770, than apply into the LCM equation.

GCF(18760,18770) = 10
LCM(18760,18770) = ( 18760 × 18770) / 10
LCM(18760,18770) = 352125200 / 10
LCM(18760,18770) = 35212520

Least Common Multiple (LCM) of 18760 and 18770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18760 and 18770. First we will calculate the prime factors of 18760 and 18770.

Prime Factorization of 18760

Prime Factorization of 18770

Now multiplying the highest exponent prime factors to calculate the LCM of 18760 and 18770.

LCM(18760,18770) = 2³ × 5¹ × 7¹ × 67¹ × 1877¹
LCM(18760,18770) = 35212520