What is the Least Common Multiple of 45357 and 45372?

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 45357 and 45372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45357 and 45372, than apply into the LCM equation.

GCF(45357,45372) = 3
LCM(45357,45372) = ( 45357 × 45372) / 3
LCM(45357,45372) = 2057937804 / 3
LCM(45357,45372) = 685979268

Least Common Multiple (LCM) of 45357 and 45372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45357 and 45372. First we will calculate the prime factors of 45357 and 45372.

Prime Factorization of 45357

Prime Factorization of 45372

Now multiplying the highest exponent prime factors to calculate the LCM of 45357 and 45372.

LCM(45357,45372) = 3¹ × 13¹ × 1163¹ × 2² × 19¹ × 199¹
LCM(45357,45372) = 685979268