What is the Least Common Multiple of 77334 and 77352?

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 77334 and 77352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77334 and 77352, than apply into the LCM equation.

GCF(77334,77352) = 6
LCM(77334,77352) = ( 77334 × 77352) / 6
LCM(77334,77352) = 5981939568 / 6
LCM(77334,77352) = 996989928

Least Common Multiple (LCM) of 77334 and 77352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77334 and 77352. First we will calculate the prime factors of 77334 and 77352.

Prime Factorization of 77334

Prime Factorization of 77352

Now multiplying the highest exponent prime factors to calculate the LCM of 77334 and 77352.

LCM(77334,77352) = 2³ × 3¹ × 12889¹ × 11¹ × 293¹
LCM(77334,77352) = 996989928