What is the Least Common Multiple of 97046 and 97056?

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 97046 and 97056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97046 and 97056, than apply into the LCM equation.

GCF(97046,97056) = 2
LCM(97046,97056) = ( 97046 × 97056) / 2
LCM(97046,97056) = 9418896576 / 2
LCM(97046,97056) = 4709448288

Least Common Multiple (LCM) of 97046 and 97056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97046 and 97056. First we will calculate the prime factors of 97046 and 97056.

Prime Factorization of 97046

Prime Factorization of 97056

Now multiplying the highest exponent prime factors to calculate the LCM of 97046 and 97056.

LCM(97046,97056) = 2⁵ × 48523¹ × 3² × 337¹
LCM(97046,97056) = 4709448288