What is the Least Common Multiple of 77370 and 77389?

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 77370 and 77389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77370 and 77389, than apply into the LCM equation.

GCF(77370,77389) = 1
LCM(77370,77389) = ( 77370 × 77389) / 1
LCM(77370,77389) = 5987586930 / 1
LCM(77370,77389) = 5987586930

Least Common Multiple (LCM) of 77370 and 77389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77370 and 77389. First we will calculate the prime factors of 77370 and 77389.

Prime Factorization of 77370

Prime Factorization of 77389

Now multiplying the highest exponent prime factors to calculate the LCM of 77370 and 77389.

LCM(77370,77389) = 2¹ × 3¹ × 5¹ × 2579¹ × 13¹ × 5953¹
LCM(77370,77389) = 5987586930