What is the Least Common Multiple of 83769 and 83787?

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 83769 and 83787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83769 and 83787, than apply into the LCM equation.

GCF(83769,83787) = 3
LCM(83769,83787) = ( 83769 × 83787) / 3
LCM(83769,83787) = 7018753203 / 3
LCM(83769,83787) = 2339584401

Least Common Multiple (LCM) of 83769 and 83787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83769 and 83787. First we will calculate the prime factors of 83769 and 83787.

Prime Factorization of 83769

Prime Factorization of 83787

Now multiplying the highest exponent prime factors to calculate the LCM of 83769 and 83787.

LCM(83769,83787) = 3¹ × 7¹ × 3989¹ × 11¹ × 2539¹
LCM(83769,83787) = 2339584401