What is the Least Common Multiple of 83699 and 83719?

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 83699 and 83719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83699 and 83719, than apply into the LCM equation.

GCF(83699,83719) = 1
LCM(83699,83719) = ( 83699 × 83719) / 1
LCM(83699,83719) = 7007196581 / 1
LCM(83699,83719) = 7007196581

Least Common Multiple (LCM) of 83699 and 83719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83699 and 83719. First we will calculate the prime factors of 83699 and 83719.

Prime Factorization of 83699

Prime Factorization of 83719

Now multiplying the highest exponent prime factors to calculate the LCM of 83699 and 83719.

LCM(83699,83719) = 7¹ × 11¹ × 1087¹ × 83719¹
LCM(83699,83719) = 7007196581