What is the Least Common Multiple of 97056 and 97074?

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 97056 and 97074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97056 and 97074, than apply into the LCM equation.

GCF(97056,97074) = 18
LCM(97056,97074) = ( 97056 × 97074) / 18
LCM(97056,97074) = 9421614144 / 18
LCM(97056,97074) = 523423008

Least Common Multiple (LCM) of 97056 and 97074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97056 and 97074. First we will calculate the prime factors of 97056 and 97074.

Prime Factorization of 97056

Prime Factorization of 97074

Now multiplying the highest exponent prime factors to calculate the LCM of 97056 and 97074.

LCM(97056,97074) = 2⁵ × 3² × 337¹ × 5393¹
LCM(97056,97074) = 523423008