What is the Least Common Multiple of 94749 and 94755?

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 94749 and 94755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94749 and 94755, than apply into the LCM equation.

GCF(94749,94755) = 3
LCM(94749,94755) = ( 94749 × 94755) / 3
LCM(94749,94755) = 8977941495 / 3
LCM(94749,94755) = 2992647165

Least Common Multiple (LCM) of 94749 and 94755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94749 and 94755. First we will calculate the prime factors of 94749 and 94755.

Prime Factorization of 94749

Prime Factorization of 94755

Now multiplying the highest exponent prime factors to calculate the LCM of 94749 and 94755.

LCM(94749,94755) = 3¹ × 31583¹ × 5¹ × 6317¹
LCM(94749,94755) = 2992647165