What is the Least Common Multiple of 74788 and 74795?

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 74788 and 74795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74788 and 74795, than apply into the LCM equation.

GCF(74788,74795) = 7
LCM(74788,74795) = ( 74788 × 74795) / 7
LCM(74788,74795) = 5593768460 / 7
LCM(74788,74795) = 799109780

Least Common Multiple (LCM) of 74788 and 74795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74788 and 74795. First we will calculate the prime factors of 74788 and 74795.

Prime Factorization of 74788

Prime Factorization of 74795

Now multiplying the highest exponent prime factors to calculate the LCM of 74788 and 74795.

LCM(74788,74795) = 2² × 7¹ × 2671¹ × 5¹ × 2137¹
LCM(74788,74795) = 799109780