What is the Least Common Multiple of 52449 and 52462?

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 52449 and 52462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52449 and 52462, than apply into the LCM equation.

GCF(52449,52462) = 1
LCM(52449,52462) = ( 52449 × 52462) / 1
LCM(52449,52462) = 2751579438 / 1
LCM(52449,52462) = 2751579438

Least Common Multiple (LCM) of 52449 and 52462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52449 and 52462. First we will calculate the prime factors of 52449 and 52462.

Prime Factorization of 52449

Prime Factorization of 52462

Now multiplying the highest exponent prime factors to calculate the LCM of 52449 and 52462.

LCM(52449,52462) = 3¹ × 17483¹ × 2¹ × 17¹ × 1543¹
LCM(52449,52462) = 2751579438