What is the Least Common Multiple of 76476 and 76483?

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 76476 and 76483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76476 and 76483, than apply into the LCM equation.

GCF(76476,76483) = 1
LCM(76476,76483) = ( 76476 × 76483) / 1
LCM(76476,76483) = 5849113908 / 1
LCM(76476,76483) = 5849113908

Least Common Multiple (LCM) of 76476 and 76483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76476 and 76483. First we will calculate the prime factors of 76476 and 76483.

Prime Factorization of 76476

Prime Factorization of 76483

Now multiplying the highest exponent prime factors to calculate the LCM of 76476 and 76483.

LCM(76476,76483) = 2² × 3¹ × 6373¹ × 11¹ × 17¹ × 409¹
LCM(76476,76483) = 5849113908