What is the Least Common Multiple of 49730 and 49744?

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 49730 and 49744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49730 and 49744, than apply into the LCM equation.

GCF(49730,49744) = 2
LCM(49730,49744) = ( 49730 × 49744) / 2
LCM(49730,49744) = 2473769120 / 2
LCM(49730,49744) = 1236884560

Least Common Multiple (LCM) of 49730 and 49744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49730 and 49744. First we will calculate the prime factors of 49730 and 49744.

Prime Factorization of 49730

Prime Factorization of 49744

Now multiplying the highest exponent prime factors to calculate the LCM of 49730 and 49744.

LCM(49730,49744) = 2⁴ × 5¹ × 4973¹ × 3109¹
LCM(49730,49744) = 1236884560