What is the Least Common Multiple of 45462 and 45476?

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 45476 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 45476, than apply into the LCM equation.

GCF(45462,45476) = 2
LCM(45462,45476) = ( 45462 × 45476) / 2
LCM(45462,45476) = 2067429912 / 2
LCM(45462,45476) = 1033714956

Least Common Multiple (LCM) of 45462 and 45476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45462 and 45476. First we will calculate the prime factors of 45462 and 45476.

Prime Factorization of 45462

Prime Factorization of 45476

Now multiplying the highest exponent prime factors to calculate the LCM of 45462 and 45476.

LCM(45462,45476) = 2² × 3¹ × 7577¹ × 11369¹
LCM(45462,45476) = 1033714956