What is the Least Common Multiple of 34485 and 34503?

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 34485 and 34503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34485 and 34503, than apply into the LCM equation.

GCF(34485,34503) = 3
LCM(34485,34503) = ( 34485 × 34503) / 3
LCM(34485,34503) = 1189835955 / 3
LCM(34485,34503) = 396611985

Least Common Multiple (LCM) of 34485 and 34503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34485 and 34503. First we will calculate the prime factors of 34485 and 34503.

Prime Factorization of 34485

Prime Factorization of 34503

Now multiplying the highest exponent prime factors to calculate the LCM of 34485 and 34503.

LCM(34485,34503) = 3¹ × 5¹ × 11² × 19¹ × 7¹ × 31¹ × 53¹
LCM(34485,34503) = 396611985