What is the Least Common Multiple of 77040 and 77049?

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 77040 and 77049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77040 and 77049, than apply into the LCM equation.

GCF(77040,77049) = 9
LCM(77040,77049) = ( 77040 × 77049) / 9
LCM(77040,77049) = 5935854960 / 9
LCM(77040,77049) = 659539440

Least Common Multiple (LCM) of 77040 and 77049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77040 and 77049. First we will calculate the prime factors of 77040 and 77049.

Prime Factorization of 77040

Prime Factorization of 77049

Now multiplying the highest exponent prime factors to calculate the LCM of 77040 and 77049.

LCM(77040,77049) = 2⁴ × 3² × 5¹ × 107¹ × 7¹ × 1223¹
LCM(77040,77049) = 659539440