What is the Least Common Multiple of 77340 and 77355?

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 77340 and 77355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77340 and 77355, than apply into the LCM equation.

GCF(77340,77355) = 15
LCM(77340,77355) = ( 77340 × 77355) / 15
LCM(77340,77355) = 5982635700 / 15
LCM(77340,77355) = 398842380

Least Common Multiple (LCM) of 77340 and 77355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77340 and 77355. First we will calculate the prime factors of 77340 and 77355.

Prime Factorization of 77340

Prime Factorization of 77355

Now multiplying the highest exponent prime factors to calculate the LCM of 77340 and 77355.

LCM(77340,77355) = 2² × 3⁴ × 5¹ × 1289¹ × 191¹
LCM(77340,77355) = 398842380