What is the Least Common Multiple of 57462 and 57474?

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 57462 and 57474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57462 and 57474, than apply into the LCM equation.

GCF(57462,57474) = 6
LCM(57462,57474) = ( 57462 × 57474) / 6
LCM(57462,57474) = 3302570988 / 6
LCM(57462,57474) = 550428498

Least Common Multiple (LCM) of 57462 and 57474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57462 and 57474. First we will calculate the prime factors of 57462 and 57474.

Prime Factorization of 57462

Prime Factorization of 57474

Now multiplying the highest exponent prime factors to calculate the LCM of 57462 and 57474.

LCM(57462,57474) = 2¹ × 3² × 61¹ × 157¹ × 31¹ × 103¹
LCM(57462,57474) = 550428498