What is the Least Common Multiple of 49785 and 49801?

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 49785 and 49801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49785 and 49801, than apply into the LCM equation.

GCF(49785,49801) = 1
LCM(49785,49801) = ( 49785 × 49801) / 1
LCM(49785,49801) = 2479342785 / 1
LCM(49785,49801) = 2479342785

Least Common Multiple (LCM) of 49785 and 49801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49785 and 49801. First we will calculate the prime factors of 49785 and 49801.

Prime Factorization of 49785

Prime Factorization of 49801

Now multiplying the highest exponent prime factors to calculate the LCM of 49785 and 49801.

LCM(49785,49801) = 3¹ × 5¹ × 3319¹ × 49801¹
LCM(49785,49801) = 2479342785