What is the Least Common Multiple of 92760 and 92769?

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 92760 and 92769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92760 and 92769, than apply into the LCM equation.

GCF(92760,92769) = 3
LCM(92760,92769) = ( 92760 × 92769) / 3
LCM(92760,92769) = 8605252440 / 3
LCM(92760,92769) = 2868417480

Least Common Multiple (LCM) of 92760 and 92769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92760 and 92769. First we will calculate the prime factors of 92760 and 92769.

Prime Factorization of 92760

Prime Factorization of 92769

Now multiplying the highest exponent prime factors to calculate the LCM of 92760 and 92769.

LCM(92760,92769) = 2³ × 3¹ × 5¹ × 773¹ × 17² × 107¹
LCM(92760,92769) = 2868417480