What is the Least Common Multiple of 49749 and 49755?

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 49749 and 49755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49749 and 49755, than apply into the LCM equation.

GCF(49749,49755) = 3
LCM(49749,49755) = ( 49749 × 49755) / 3
LCM(49749,49755) = 2475261495 / 3
LCM(49749,49755) = 825087165

Least Common Multiple (LCM) of 49749 and 49755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49749 and 49755. First we will calculate the prime factors of 49749 and 49755.

Prime Factorization of 49749

Prime Factorization of 49755

Now multiplying the highest exponent prime factors to calculate the LCM of 49749 and 49755.

LCM(49749,49755) = 3¹ × 7¹ × 23¹ × 103¹ × 5¹ × 31¹ × 107¹
LCM(49749,49755) = 825087165