What is the Least Common Multiple of 49707 and 49725?

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 49707 and 49725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49707 and 49725, than apply into the LCM equation.

GCF(49707,49725) = 9
LCM(49707,49725) = ( 49707 × 49725) / 9
LCM(49707,49725) = 2471680575 / 9
LCM(49707,49725) = 274631175

Least Common Multiple (LCM) of 49707 and 49725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49707 and 49725. First we will calculate the prime factors of 49707 and 49725.

Prime Factorization of 49707

Prime Factorization of 49725

Now multiplying the highest exponent prime factors to calculate the LCM of 49707 and 49725.

LCM(49707,49725) = 3³ × 7¹ × 263¹ × 5² × 13¹ × 17¹
LCM(49707,49725) = 274631175