What is the Least Common Multiple of 93685 and 93703?

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 93685 and 93703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93685 and 93703, than apply into the LCM equation.

GCF(93685,93703) = 1
LCM(93685,93703) = ( 93685 × 93703) / 1
LCM(93685,93703) = 8778565555 / 1
LCM(93685,93703) = 8778565555

Least Common Multiple (LCM) of 93685 and 93703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93685 and 93703. First we will calculate the prime factors of 93685 and 93703.

Prime Factorization of 93685

Prime Factorization of 93703

Now multiplying the highest exponent prime factors to calculate the LCM of 93685 and 93703.

LCM(93685,93703) = 5¹ × 41¹ × 457¹ × 93703¹
LCM(93685,93703) = 8778565555