What is the Least Common Multiple of 77370 and 77388?

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 77388 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 77388, than apply into the LCM equation.

GCF(77370,77388) = 6
LCM(77370,77388) = ( 77370 × 77388) / 6
LCM(77370,77388) = 5987509560 / 6
LCM(77370,77388) = 997918260

Least Common Multiple (LCM) of 77370 and 77388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77370 and 77388. First we will calculate the prime factors of 77370 and 77388.

Prime Factorization of 77370

Prime Factorization of 77388

Now multiplying the highest exponent prime factors to calculate the LCM of 77370 and 77388.

LCM(77370,77388) = 2² × 3¹ × 5¹ × 2579¹ × 6449¹
LCM(77370,77388) = 997918260