What is the Least Common Multiple of 83760 and 83769?

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 83760 and 83769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83760 and 83769, than apply into the LCM equation.

GCF(83760,83769) = 3
LCM(83760,83769) = ( 83760 × 83769) / 3
LCM(83760,83769) = 7016491440 / 3
LCM(83760,83769) = 2338830480

Least Common Multiple (LCM) of 83760 and 83769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83760 and 83769. First we will calculate the prime factors of 83760 and 83769.

Prime Factorization of 83760

Prime Factorization of 83769

Now multiplying the highest exponent prime factors to calculate the LCM of 83760 and 83769.

LCM(83760,83769) = 2⁴ × 3¹ × 5¹ × 349¹ × 7¹ × 3989¹
LCM(83760,83769) = 2338830480