What is the Least Common Multiple of 78898 and 78915?

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 78898 and 78915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78898 and 78915, than apply into the LCM equation.

GCF(78898,78915) = 1
LCM(78898,78915) = ( 78898 × 78915) / 1
LCM(78898,78915) = 6226235670 / 1
LCM(78898,78915) = 6226235670

Least Common Multiple (LCM) of 78898 and 78915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78898 and 78915. First we will calculate the prime factors of 78898 and 78915.

Prime Factorization of 78898

Prime Factorization of 78915

Now multiplying the highest exponent prime factors to calculate the LCM of 78898 and 78915.

LCM(78898,78915) = 2¹ × 103¹ × 383¹ × 3¹ × 5¹ × 5261¹
LCM(78898,78915) = 6226235670