What is the Least Common Multiple of 47761 and 47767?

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 47761 and 47767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47761 and 47767, than apply into the LCM equation.

GCF(47761,47767) = 1
LCM(47761,47767) = ( 47761 × 47767) / 1
LCM(47761,47767) = 2281399687 / 1
LCM(47761,47767) = 2281399687

Least Common Multiple (LCM) of 47761 and 47767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47761 and 47767. First we will calculate the prime factors of 47761 and 47767.

Prime Factorization of 47761

Prime Factorization of 47767

Now multiplying the highest exponent prime factors to calculate the LCM of 47761 and 47767.

LCM(47761,47767) = 7¹ × 6823¹ × 37¹ × 1291¹
LCM(47761,47767) = 2281399687