What is the Least Common Multiple of 48974 and 48985?

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 48974 and 48985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48974 and 48985, than apply into the LCM equation.

GCF(48974,48985) = 1
LCM(48974,48985) = ( 48974 × 48985) / 1
LCM(48974,48985) = 2398991390 / 1
LCM(48974,48985) = 2398991390

Least Common Multiple (LCM) of 48974 and 48985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48974 and 48985. First we will calculate the prime factors of 48974 and 48985.

Prime Factorization of 48974

Prime Factorization of 48985

Now multiplying the highest exponent prime factors to calculate the LCM of 48974 and 48985.

LCM(48974,48985) = 2¹ × 47¹ × 521¹ × 5¹ × 97¹ × 101¹
LCM(48974,48985) = 2398991390