What is the Least Common Multiple of 49665 and 49681?

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 49665 and 49681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49665 and 49681, than apply into the LCM equation.

GCF(49665,49681) = 1
LCM(49665,49681) = ( 49665 × 49681) / 1
LCM(49665,49681) = 2467406865 / 1
LCM(49665,49681) = 2467406865

Least Common Multiple (LCM) of 49665 and 49681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49665 and 49681. First we will calculate the prime factors of 49665 and 49681.

Prime Factorization of 49665

Prime Factorization of 49681

Now multiplying the highest exponent prime factors to calculate the LCM of 49665 and 49681.

LCM(49665,49681) = 3¹ × 5¹ × 7¹ × 11¹ × 43¹ × 49681¹
LCM(49665,49681) = 2467406865