What is the Least Common Multiple of 92684 and 92702?

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 92684 and 92702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92684 and 92702, than apply into the LCM equation.

GCF(92684,92702) = 2
LCM(92684,92702) = ( 92684 × 92702) / 2
LCM(92684,92702) = 8591992168 / 2
LCM(92684,92702) = 4295996084

Least Common Multiple (LCM) of 92684 and 92702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92684 and 92702. First we will calculate the prime factors of 92684 and 92702.

Prime Factorization of 92684

Prime Factorization of 92702

Now multiplying the highest exponent prime factors to calculate the LCM of 92684 and 92702.

LCM(92684,92702) = 2² × 17¹ × 29¹ × 47¹ × 46351¹
LCM(92684,92702) = 4295996084