What is the Least Common Multiple of 93690 and 93706?

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 93690 and 93706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93690 and 93706, than apply into the LCM equation.

GCF(93690,93706) = 2
LCM(93690,93706) = ( 93690 × 93706) / 2
LCM(93690,93706) = 8779315140 / 2
LCM(93690,93706) = 4389657570

Least Common Multiple (LCM) of 93690 and 93706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93690 and 93706. First we will calculate the prime factors of 93690 and 93706.

Prime Factorization of 93690

Prime Factorization of 93706

Now multiplying the highest exponent prime factors to calculate the LCM of 93690 and 93706.

LCM(93690,93706) = 2¹ × 3³ × 5¹ × 347¹ × 46853¹
LCM(93690,93706) = 4389657570