What is the Least Common Multiple of 83658 and 83670?

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 83658 and 83670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83658 and 83670, than apply into the LCM equation.

GCF(83658,83670) = 6
LCM(83658,83670) = ( 83658 × 83670) / 6
LCM(83658,83670) = 6999664860 / 6
LCM(83658,83670) = 1166610810

Least Common Multiple (LCM) of 83658 and 83670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83658 and 83670. First we will calculate the prime factors of 83658 and 83670.

Prime Factorization of 83658

Prime Factorization of 83670

Now multiplying the highest exponent prime factors to calculate the LCM of 83658 and 83670.

LCM(83658,83670) = 2¹ × 3¹ × 73¹ × 191¹ × 5¹ × 2789¹
LCM(83658,83670) = 1166610810