What is the Least Common Multiple of 9692 and 9700?

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 9692 and 9700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9692 and 9700, than apply into the LCM equation.

GCF(9692,9700) = 4
LCM(9692,9700) = ( 9692 × 9700) / 4
LCM(9692,9700) = 94012400 / 4
LCM(9692,9700) = 23503100

Least Common Multiple (LCM) of 9692 and 9700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9692 and 9700. First we will calculate the prime factors of 9692 and 9700.

Prime Factorization of 9692

Prime Factorization of 9700

Now multiplying the highest exponent prime factors to calculate the LCM of 9692 and 9700.

LCM(9692,9700) = 2² × 2423¹ × 5² × 97¹
LCM(9692,9700) = 23503100