What is the Least Common Multiple of 49750 and 49765?

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 49750 and 49765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49750 and 49765, than apply into the LCM equation.

GCF(49750,49765) = 5
LCM(49750,49765) = ( 49750 × 49765) / 5
LCM(49750,49765) = 2475808750 / 5
LCM(49750,49765) = 495161750

Least Common Multiple (LCM) of 49750 and 49765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49750 and 49765. First we will calculate the prime factors of 49750 and 49765.

Prime Factorization of 49750

Prime Factorization of 49765

Now multiplying the highest exponent prime factors to calculate the LCM of 49750 and 49765.

LCM(49750,49765) = 2¹ × 5³ × 199¹ × 37¹ × 269¹
LCM(49750,49765) = 495161750