What is the Least Common Multiple of 97712 and 97724?

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 97712 and 97724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97712 and 97724, than apply into the LCM equation.

GCF(97712,97724) = 4
LCM(97712,97724) = ( 97712 × 97724) / 4
LCM(97712,97724) = 9548807488 / 4
LCM(97712,97724) = 2387201872

Least Common Multiple (LCM) of 97712 and 97724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97712 and 97724. First we will calculate the prime factors of 97712 and 97724.

Prime Factorization of 97712

Prime Factorization of 97724

Now multiplying the highest exponent prime factors to calculate the LCM of 97712 and 97724.

LCM(97712,97724) = 2⁴ × 31¹ × 197¹ × 11¹ × 2221¹
LCM(97712,97724) = 2387201872