What is the Least Common Multiple of 76518 and 76533?

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 76518 and 76533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76518 and 76533, than apply into the LCM equation.

GCF(76518,76533) = 3
LCM(76518,76533) = ( 76518 × 76533) / 3
LCM(76518,76533) = 5856152094 / 3
LCM(76518,76533) = 1952050698

Least Common Multiple (LCM) of 76518 and 76533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76518 and 76533. First we will calculate the prime factors of 76518 and 76533.

Prime Factorization of 76518

Prime Factorization of 76533

Now multiplying the highest exponent prime factors to calculate the LCM of 76518 and 76533.

LCM(76518,76533) = 2¹ × 3³ × 13¹ × 109¹ × 97¹ × 263¹
LCM(76518,76533) = 1952050698