What is the Least Common Multiple of 72761 and 72767?

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 72761 and 72767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72761 and 72767, than apply into the LCM equation.

GCF(72761,72767) = 1
LCM(72761,72767) = ( 72761 × 72767) / 1
LCM(72761,72767) = 5294599687 / 1
LCM(72761,72767) = 5294599687

Least Common Multiple (LCM) of 72761 and 72767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72761 and 72767. First we will calculate the prime factors of 72761 and 72767.

Prime Factorization of 72761

Prime Factorization of 72767

Now multiplying the highest exponent prime factors to calculate the LCM of 72761 and 72767.

LCM(72761,72767) = 13¹ × 29¹ × 193¹ × 72767¹
LCM(72761,72767) = 5294599687