What is the Least Common Multiple of 77376 and 77392?

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 77376 and 77392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77376 and 77392, than apply into the LCM equation.

GCF(77376,77392) = 16
LCM(77376,77392) = ( 77376 × 77392) / 16
LCM(77376,77392) = 5988283392 / 16
LCM(77376,77392) = 374267712

Least Common Multiple (LCM) of 77376 and 77392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77376 and 77392. First we will calculate the prime factors of 77376 and 77392.

Prime Factorization of 77376

Prime Factorization of 77392

Now multiplying the highest exponent prime factors to calculate the LCM of 77376 and 77392.

LCM(77376,77392) = 2⁶ × 3¹ × 13¹ × 31¹ × 7¹ × 691¹
LCM(77376,77392) = 374267712