What is the Least Common Multiple of 50730 and 50749?

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 50730 and 50749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50730 and 50749, than apply into the LCM equation.

GCF(50730,50749) = 19
LCM(50730,50749) = ( 50730 × 50749) / 19
LCM(50730,50749) = 2574496770 / 19
LCM(50730,50749) = 135499830

Least Common Multiple (LCM) of 50730 and 50749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50730 and 50749. First we will calculate the prime factors of 50730 and 50749.

Prime Factorization of 50730

Prime Factorization of 50749

Now multiplying the highest exponent prime factors to calculate the LCM of 50730 and 50749.

LCM(50730,50749) = 2¹ × 3¹ × 5¹ × 19¹ × 89¹ × 2671¹
LCM(50730,50749) = 135499830