What is the Least Common Multiple of 77376 and 77382?

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 77382 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 77382, than apply into the LCM equation.

GCF(77376,77382) = 6
LCM(77376,77382) = ( 77376 × 77382) / 6
LCM(77376,77382) = 5987509632 / 6
LCM(77376,77382) = 997918272

Least Common Multiple (LCM) of 77376 and 77382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77376 and 77382. First we will calculate the prime factors of 77376 and 77382.

Prime Factorization of 77376

Prime Factorization of 77382

Now multiplying the highest exponent prime factors to calculate the LCM of 77376 and 77382.

LCM(77376,77382) = 2⁶ × 3³ × 13¹ × 31¹ × 1433¹
LCM(77376,77382) = 997918272