What is the Least Common Multiple of 76414 and 76428?

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 76414 and 76428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76414 and 76428, than apply into the LCM equation.

GCF(76414,76428) = 2
LCM(76414,76428) = ( 76414 × 76428) / 2
LCM(76414,76428) = 5840169192 / 2
LCM(76414,76428) = 2920084596

Least Common Multiple (LCM) of 76414 and 76428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76414 and 76428. First we will calculate the prime factors of 76414 and 76428.

Prime Factorization of 76414

Prime Factorization of 76428

Now multiplying the highest exponent prime factors to calculate the LCM of 76414 and 76428.

LCM(76414,76428) = 2² × 13¹ × 2939¹ × 3² × 11¹ × 193¹
LCM(76414,76428) = 2920084596