What is the Least Common Multiple of 76417 and 76437?

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 76417 and 76437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76417 and 76437, than apply into the LCM equation.

GCF(76417,76437) = 1
LCM(76417,76437) = ( 76417 × 76437) / 1
LCM(76417,76437) = 5841086229 / 1
LCM(76417,76437) = 5841086229

Least Common Multiple (LCM) of 76417 and 76437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76417 and 76437. First we will calculate the prime factors of 76417 and 76437.

Prime Factorization of 76417

Prime Factorization of 76437

Now multiplying the highest exponent prime factors to calculate the LCM of 76417 and 76437.

LCM(76417,76437) = 11¹ × 6947¹ × 3³ × 19¹ × 149¹
LCM(76417,76437) = 5841086229