What is the Least Common Multiple of 49770 and 49785?

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 49770 and 49785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49770 and 49785, than apply into the LCM equation.

GCF(49770,49785) = 15
LCM(49770,49785) = ( 49770 × 49785) / 15
LCM(49770,49785) = 2477799450 / 15
LCM(49770,49785) = 165186630

Least Common Multiple (LCM) of 49770 and 49785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49770 and 49785. First we will calculate the prime factors of 49770 and 49785.

Prime Factorization of 49770

Prime Factorization of 49785

Now multiplying the highest exponent prime factors to calculate the LCM of 49770 and 49785.

LCM(49770,49785) = 2¹ × 3² × 5¹ × 7¹ × 79¹ × 3319¹
LCM(49770,49785) = 165186630