What is the Least Common Multiple of 76749 and 76755?

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 76749 and 76755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76749 and 76755, than apply into the LCM equation.

GCF(76749,76755) = 3
LCM(76749,76755) = ( 76749 × 76755) / 3
LCM(76749,76755) = 5890869495 / 3
LCM(76749,76755) = 1963623165

Least Common Multiple (LCM) of 76749 and 76755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76749 and 76755. First we will calculate the prime factors of 76749 and 76755.

Prime Factorization of 76749

Prime Factorization of 76755

Now multiplying the highest exponent prime factors to calculate the LCM of 76749 and 76755.

LCM(76749,76755) = 3¹ × 25583¹ × 5¹ × 7¹ × 17¹ × 43¹
LCM(76749,76755) = 1963623165