What is the Least Common Multiple of 7258 and 7278?

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 7258 and 7278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7258 and 7278, than apply into the LCM equation.

GCF(7258,7278) = 2
LCM(7258,7278) = ( 7258 × 7278) / 2
LCM(7258,7278) = 52823724 / 2
LCM(7258,7278) = 26411862

Least Common Multiple (LCM) of 7258 and 7278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7258 and 7278. First we will calculate the prime factors of 7258 and 7278.

Prime Factorization of 7258

Prime Factorization of 7278

Now multiplying the highest exponent prime factors to calculate the LCM of 7258 and 7278.

LCM(7258,7278) = 2¹ × 19¹ × 191¹ × 3¹ × 1213¹
LCM(7258,7278) = 26411862