What is the Least Common Multiple of 76473 and 76488?

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 76473 and 76488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76473 and 76488, than apply into the LCM equation.

GCF(76473,76488) = 3
LCM(76473,76488) = ( 76473 × 76488) / 3
LCM(76473,76488) = 5849266824 / 3
LCM(76473,76488) = 1949755608

Least Common Multiple (LCM) of 76473 and 76488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76473 and 76488. First we will calculate the prime factors of 76473 and 76488.

Prime Factorization of 76473

Prime Factorization of 76488

Now multiplying the highest exponent prime factors to calculate the LCM of 76473 and 76488.

LCM(76473,76488) = 3² × 29¹ × 293¹ × 2³ × 3187¹
LCM(76473,76488) = 1949755608