What is the Least Common Multiple of 45353 and 45367?

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 45353 and 45367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45353 and 45367, than apply into the LCM equation.

GCF(45353,45367) = 7
LCM(45353,45367) = ( 45353 × 45367) / 7
LCM(45353,45367) = 2057529551 / 7
LCM(45353,45367) = 293932793

Least Common Multiple (LCM) of 45353 and 45367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45353 and 45367. First we will calculate the prime factors of 45353 and 45367.

Prime Factorization of 45353

Prime Factorization of 45367

Now multiplying the highest exponent prime factors to calculate the LCM of 45353 and 45367.

LCM(45353,45367) = 7¹ × 11¹ × 19¹ × 31¹ × 6481¹
LCM(45353,45367) = 293932793