What is the Least Common Multiple of 77384 and 77396?

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 77384 and 77396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77384 and 77396, than apply into the LCM equation.

GCF(77384,77396) = 4
LCM(77384,77396) = ( 77384 × 77396) / 4
LCM(77384,77396) = 5989212064 / 4
LCM(77384,77396) = 1497303016

Least Common Multiple (LCM) of 77384 and 77396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77384 and 77396. First we will calculate the prime factors of 77384 and 77396.

Prime Factorization of 77384

Prime Factorization of 77396

Now multiplying the highest exponent prime factors to calculate the LCM of 77384 and 77396.

LCM(77384,77396) = 2³ × 17¹ × 569¹ × 11¹ × 1759¹
LCM(77384,77396) = 1497303016