What is the Least Common Multiple of 47680 and 47698?

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 47680 and 47698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47680 and 47698, than apply into the LCM equation.

GCF(47680,47698) = 2
LCM(47680,47698) = ( 47680 × 47698) / 2
LCM(47680,47698) = 2274240640 / 2
LCM(47680,47698) = 1137120320

Least Common Multiple (LCM) of 47680 and 47698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47680 and 47698. First we will calculate the prime factors of 47680 and 47698.

Prime Factorization of 47680

Prime Factorization of 47698

Now multiplying the highest exponent prime factors to calculate the LCM of 47680 and 47698.

LCM(47680,47698) = 2⁶ × 5¹ × 149¹ × 7¹ × 3407¹
LCM(47680,47698) = 1137120320