What is the Least Common Multiple of 76274 and 76290?

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 76274 and 76290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76274 and 76290, than apply into the LCM equation.

GCF(76274,76290) = 2
LCM(76274,76290) = ( 76274 × 76290) / 2
LCM(76274,76290) = 5818943460 / 2
LCM(76274,76290) = 2909471730

Least Common Multiple (LCM) of 76274 and 76290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76274 and 76290. First we will calculate the prime factors of 76274 and 76290.

Prime Factorization of 76274

Prime Factorization of 76290

Now multiplying the highest exponent prime factors to calculate the LCM of 76274 and 76290.

LCM(76274,76290) = 2¹ × 11¹ × 3467¹ × 3¹ × 5¹ × 2543¹
LCM(76274,76290) = 2909471730