What is the Least Common Multiple of 47762 and 47768?

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 47762 and 47768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47762 and 47768, than apply into the LCM equation.

GCF(47762,47768) = 2
LCM(47762,47768) = ( 47762 × 47768) / 2
LCM(47762,47768) = 2281495216 / 2
LCM(47762,47768) = 1140747608

Least Common Multiple (LCM) of 47762 and 47768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47762 and 47768. First we will calculate the prime factors of 47762 and 47768.

Prime Factorization of 47762

Prime Factorization of 47768

Now multiplying the highest exponent prime factors to calculate the LCM of 47762 and 47768.

LCM(47762,47768) = 2³ × 11¹ × 13¹ × 167¹ × 7¹ × 853¹
LCM(47762,47768) = 1140747608