What is the Least Common Multiple of 72449 and 72462?

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 72449 and 72462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72449 and 72462, than apply into the LCM equation.

GCF(72449,72462) = 13
LCM(72449,72462) = ( 72449 × 72462) / 13
LCM(72449,72462) = 5249799438 / 13
LCM(72449,72462) = 403830726

Least Common Multiple (LCM) of 72449 and 72462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72449 and 72462. First we will calculate the prime factors of 72449 and 72462.

Prime Factorization of 72449

Prime Factorization of 72462

Now multiplying the highest exponent prime factors to calculate the LCM of 72449 and 72462.

LCM(72449,72462) = 13¹ × 5573¹ × 2¹ × 3¹ × 929¹
LCM(72449,72462) = 403830726