What is the Least Common Multiple of 77030 and 77035?

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 77030 and 77035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77030 and 77035, than apply into the LCM equation.

GCF(77030,77035) = 5
LCM(77030,77035) = ( 77030 × 77035) / 5
LCM(77030,77035) = 5934006050 / 5
LCM(77030,77035) = 1186801210

Least Common Multiple (LCM) of 77030 and 77035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77030 and 77035. First we will calculate the prime factors of 77030 and 77035.

Prime Factorization of 77030

Prime Factorization of 77035

Now multiplying the highest exponent prime factors to calculate the LCM of 77030 and 77035.

LCM(77030,77035) = 2¹ × 5¹ × 7703¹ × 7¹ × 31¹ × 71¹
LCM(77030,77035) = 1186801210