What is the Least Common Multiple of 18905 and 18915?

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 18905 and 18915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18905 and 18915, than apply into the LCM equation.

GCF(18905,18915) = 5
LCM(18905,18915) = ( 18905 × 18915) / 5
LCM(18905,18915) = 357588075 / 5
LCM(18905,18915) = 71517615

Least Common Multiple (LCM) of 18905 and 18915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18905 and 18915. First we will calculate the prime factors of 18905 and 18915.

Prime Factorization of 18905

Prime Factorization of 18915

Now multiplying the highest exponent prime factors to calculate the LCM of 18905 and 18915.

LCM(18905,18915) = 5¹ × 19¹ × 199¹ × 3¹ × 13¹ × 97¹
LCM(18905,18915) = 71517615