What is the Least Common Multiple of 97029 and 97035?

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 97029 and 97035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97029 and 97035, than apply into the LCM equation.

GCF(97029,97035) = 3
LCM(97029,97035) = ( 97029 × 97035) / 3
LCM(97029,97035) = 9415209015 / 3
LCM(97029,97035) = 3138403005

Least Common Multiple (LCM) of 97029 and 97035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97029 and 97035. First we will calculate the prime factors of 97029 and 97035.

Prime Factorization of 97029

Prime Factorization of 97035

Now multiplying the highest exponent prime factors to calculate the LCM of 97029 and 97035.

LCM(97029,97035) = 3² × 10781¹ × 5¹ × 6469¹
LCM(97029,97035) = 3138403005