What is the Least Common Multiple of 45474 and 45492?

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 45474 and 45492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45474 and 45492, than apply into the LCM equation.

GCF(45474,45492) = 6
LCM(45474,45492) = ( 45474 × 45492) / 6
LCM(45474,45492) = 2068703208 / 6
LCM(45474,45492) = 344783868

Least Common Multiple (LCM) of 45474 and 45492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45474 and 45492. First we will calculate the prime factors of 45474 and 45492.

Prime Factorization of 45474

Prime Factorization of 45492

Now multiplying the highest exponent prime factors to calculate the LCM of 45474 and 45492.

LCM(45474,45492) = 2² × 3¹ × 11¹ × 13¹ × 53¹ × 17¹ × 223¹
LCM(45474,45492) = 344783868