What is the Least Common Multiple of 96992 and 97010?

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 96992 and 97010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96992 and 97010, than apply into the LCM equation.

GCF(96992,97010) = 2
LCM(96992,97010) = ( 96992 × 97010) / 2
LCM(96992,97010) = 9409193920 / 2
LCM(96992,97010) = 4704596960

Least Common Multiple (LCM) of 96992 and 97010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96992 and 97010. First we will calculate the prime factors of 96992 and 97010.

Prime Factorization of 96992

Prime Factorization of 97010

Now multiplying the highest exponent prime factors to calculate the LCM of 96992 and 97010.

LCM(96992,97010) = 2⁵ × 7¹ × 433¹ × 5¹ × 89¹ × 109¹
LCM(96992,97010) = 4704596960