What is the Least Common Multiple of 97700 and 97712?

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 97700 and 97712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97700 and 97712, than apply into the LCM equation.

GCF(97700,97712) = 4
LCM(97700,97712) = ( 97700 × 97712) / 4
LCM(97700,97712) = 9546462400 / 4
LCM(97700,97712) = 2386615600

Least Common Multiple (LCM) of 97700 and 97712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97700 and 97712. First we will calculate the prime factors of 97700 and 97712.

Prime Factorization of 97700

Prime Factorization of 97712

Now multiplying the highest exponent prime factors to calculate the LCM of 97700 and 97712.

LCM(97700,97712) = 2⁴ × 5² × 977¹ × 31¹ × 197¹
LCM(97700,97712) = 2386615600