What is the Least Common Multiple of 45462 and 45477?

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 45462 and 45477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45462 and 45477, than apply into the LCM equation.

GCF(45462,45477) = 3
LCM(45462,45477) = ( 45462 × 45477) / 3
LCM(45462,45477) = 2067475374 / 3
LCM(45462,45477) = 689158458

Least Common Multiple (LCM) of 45462 and 45477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45462 and 45477. First we will calculate the prime factors of 45462 and 45477.

Prime Factorization of 45462

Prime Factorization of 45477

Now multiplying the highest exponent prime factors to calculate the LCM of 45462 and 45477.

LCM(45462,45477) = 2¹ × 3² × 7577¹ × 31¹ × 163¹
LCM(45462,45477) = 689158458