What is the Least Common Multiple of 86685 and 86703?

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 86685 and 86703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86685 and 86703, than apply into the LCM equation.

GCF(86685,86703) = 3
LCM(86685,86703) = ( 86685 × 86703) / 3
LCM(86685,86703) = 7515849555 / 3
LCM(86685,86703) = 2505283185

Least Common Multiple (LCM) of 86685 and 86703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86685 and 86703. First we will calculate the prime factors of 86685 and 86703.

Prime Factorization of 86685

Prime Factorization of 86703

Now multiplying the highest exponent prime factors to calculate the LCM of 86685 and 86703.

LCM(86685,86703) = 3¹ × 5¹ × 5779¹ × 28901¹
LCM(86685,86703) = 2505283185