What is the Least Common Multiple of 83733 and 83747?

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 83733 and 83747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83733 and 83747, than apply into the LCM equation.

GCF(83733,83747) = 1
LCM(83733,83747) = ( 83733 × 83747) / 1
LCM(83733,83747) = 7012387551 / 1
LCM(83733,83747) = 7012387551

Least Common Multiple (LCM) of 83733 and 83747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83733 and 83747. First we will calculate the prime factors of 83733 and 83747.

Prime Factorization of 83733

Prime Factorization of 83747

Now multiplying the highest exponent prime factors to calculate the LCM of 83733 and 83747.

LCM(83733,83747) = 3¹ × 13¹ × 19¹ × 113¹ × 83¹ × 1009¹
LCM(83733,83747) = 7012387551