What is the Least Common Multiple of 97684 and 97689?

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 97684 and 97689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97684 and 97689, than apply into the LCM equation.

GCF(97684,97689) = 1
LCM(97684,97689) = ( 97684 × 97689) / 1
LCM(97684,97689) = 9542652276 / 1
LCM(97684,97689) = 9542652276

Least Common Multiple (LCM) of 97684 and 97689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97684 and 97689. First we will calculate the prime factors of 97684 and 97689.

Prime Factorization of 97684

Prime Factorization of 97689

Now multiplying the highest exponent prime factors to calculate the LCM of 97684 and 97689.

LCM(97684,97689) = 2² × 24421¹ × 3¹ × 32563¹
LCM(97684,97689) = 9542652276