What is the Least Common Multiple of 91029 and 91035?

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 91029 and 91035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91029 and 91035, than apply into the LCM equation.

GCF(91029,91035) = 3
LCM(91029,91035) = ( 91029 × 91035) / 3
LCM(91029,91035) = 8286825015 / 3
LCM(91029,91035) = 2762275005

Least Common Multiple (LCM) of 91029 and 91035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91029 and 91035. First we will calculate the prime factors of 91029 and 91035.

Prime Factorization of 91029

Prime Factorization of 91035

Now multiplying the highest exponent prime factors to calculate the LCM of 91029 and 91035.

LCM(91029,91035) = 3² × 19¹ × 1597¹ × 5¹ × 7¹ × 17²
LCM(91029,91035) = 2762275005