What is the Least Common Multiple of 49833 and 49840?

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 49833 and 49840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49833 and 49840, than apply into the LCM equation.

GCF(49833,49840) = 7
LCM(49833,49840) = ( 49833 × 49840) / 7
LCM(49833,49840) = 2483676720 / 7
LCM(49833,49840) = 354810960

Least Common Multiple (LCM) of 49833 and 49840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49833 and 49840. First we will calculate the prime factors of 49833 and 49840.

Prime Factorization of 49833

Prime Factorization of 49840

Now multiplying the highest exponent prime factors to calculate the LCM of 49833 and 49840.

LCM(49833,49840) = 3² × 7² × 113¹ × 2⁴ × 5¹ × 89¹
LCM(49833,49840) = 354810960