What is the Least Common Multiple of 76503 and 76521?

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 76503 and 76521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76503 and 76521, than apply into the LCM equation.

GCF(76503,76521) = 3
LCM(76503,76521) = ( 76503 × 76521) / 3
LCM(76503,76521) = 5854086063 / 3
LCM(76503,76521) = 1951362021

Least Common Multiple (LCM) of 76503 and 76521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76503 and 76521. First we will calculate the prime factors of 76503 and 76521.

Prime Factorization of 76503

Prime Factorization of 76521

Now multiplying the highest exponent prime factors to calculate the LCM of 76503 and 76521.

LCM(76503,76521) = 3¹ × 7¹ × 3643¹ × 23¹ × 1109¹
LCM(76503,76521) = 1951362021