What is the Least Common Multiple of 49725 and 49734?

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 49725 and 49734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49725 and 49734, than apply into the LCM equation.

GCF(49725,49734) = 9
LCM(49725,49734) = ( 49725 × 49734) / 9
LCM(49725,49734) = 2473023150 / 9
LCM(49725,49734) = 274780350

Least Common Multiple (LCM) of 49725 and 49734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49725 and 49734. First we will calculate the prime factors of 49725 and 49734.

Prime Factorization of 49725

Prime Factorization of 49734

Now multiplying the highest exponent prime factors to calculate the LCM of 49725 and 49734.

LCM(49725,49734) = 3⁴ × 5² × 13¹ × 17¹ × 2¹ × 307¹
LCM(49725,49734) = 274780350