What is the Least Common Multiple of 76065 and 76074?

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 76065 and 76074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76065 and 76074, than apply into the LCM equation.

GCF(76065,76074) = 3
LCM(76065,76074) = ( 76065 × 76074) / 3
LCM(76065,76074) = 5786568810 / 3
LCM(76065,76074) = 1928856270

Least Common Multiple (LCM) of 76065 and 76074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76065 and 76074. First we will calculate the prime factors of 76065 and 76074.

Prime Factorization of 76065

Prime Factorization of 76074

Now multiplying the highest exponent prime factors to calculate the LCM of 76065 and 76074.

LCM(76065,76074) = 3¹ × 5¹ × 11¹ × 461¹ × 2¹ × 31¹ × 409¹
LCM(76065,76074) = 1928856270