What is the Least Common Multiple of 49582 and 49597?

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 49582 and 49597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49582 and 49597, than apply into the LCM equation.

GCF(49582,49597) = 1
LCM(49582,49597) = ( 49582 × 49597) / 1
LCM(49582,49597) = 2459118454 / 1
LCM(49582,49597) = 2459118454

Least Common Multiple (LCM) of 49582 and 49597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49582 and 49597. First we will calculate the prime factors of 49582 and 49597.

Prime Factorization of 49582

Prime Factorization of 49597

Now multiplying the highest exponent prime factors to calculate the LCM of 49582 and 49597.

LCM(49582,49597) = 2¹ × 13¹ × 1907¹ × 49597¹
LCM(49582,49597) = 2459118454