What is the Least Common Multiple of 92739 and 92749?

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 92739 and 92749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92739 and 92749, than apply into the LCM equation.

GCF(92739,92749) = 1
LCM(92739,92749) = ( 92739 × 92749) / 1
LCM(92739,92749) = 8601449511 / 1
LCM(92739,92749) = 8601449511

Least Common Multiple (LCM) of 92739 and 92749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92739 and 92749. First we will calculate the prime factors of 92739 and 92749.

Prime Factorization of 92739

Prime Factorization of 92749

Now multiplying the highest exponent prime factors to calculate the LCM of 92739 and 92749.

LCM(92739,92749) = 3¹ × 19¹ × 1627¹ × 137¹ × 677¹
LCM(92739,92749) = 8601449511