What is the Least Common Multiple of 57562 and 57566?

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 57562 and 57566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57562 and 57566, than apply into the LCM equation.

GCF(57562,57566) = 2
LCM(57562,57566) = ( 57562 × 57566) / 2
LCM(57562,57566) = 3313614092 / 2
LCM(57562,57566) = 1656807046

Least Common Multiple (LCM) of 57562 and 57566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57562 and 57566. First we will calculate the prime factors of 57562 and 57566.

Prime Factorization of 57562

Prime Factorization of 57566

Now multiplying the highest exponent prime factors to calculate the LCM of 57562 and 57566.

LCM(57562,57566) = 2¹ × 17¹ × 1693¹ × 107¹ × 269¹
LCM(57562,57566) = 1656807046