What is the Least Common Multiple of 76590 and 76602?

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 76590 and 76602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76590 and 76602, than apply into the LCM equation.

GCF(76590,76602) = 6
LCM(76590,76602) = ( 76590 × 76602) / 6
LCM(76590,76602) = 5866947180 / 6
LCM(76590,76602) = 977824530

Least Common Multiple (LCM) of 76590 and 76602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76590 and 76602. First we will calculate the prime factors of 76590 and 76602.

Prime Factorization of 76590

Prime Factorization of 76602

Now multiplying the highest exponent prime factors to calculate the LCM of 76590 and 76602.

LCM(76590,76602) = 2¹ × 3² × 5¹ × 23¹ × 37¹ × 17¹ × 751¹
LCM(76590,76602) = 977824530