What is the Least Common Multiple of 53562 and 53579?

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 53562 and 53579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53562 and 53579, than apply into the LCM equation.

GCF(53562,53579) = 1
LCM(53562,53579) = ( 53562 × 53579) / 1
LCM(53562,53579) = 2869798398 / 1
LCM(53562,53579) = 2869798398

Least Common Multiple (LCM) of 53562 and 53579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53562 and 53579. First we will calculate the prime factors of 53562 and 53579.

Prime Factorization of 53562

Prime Factorization of 53579

Now multiplying the highest exponent prime factors to calculate the LCM of 53562 and 53579.

LCM(53562,53579) = 2¹ × 3¹ × 79¹ × 113¹ × 131¹ × 409¹
LCM(53562,53579) = 2869798398