What is the Least Common Multiple of 48714 and 48722?

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 48714 and 48722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48714 and 48722, than apply into the LCM equation.

GCF(48714,48722) = 2
LCM(48714,48722) = ( 48714 × 48722) / 2
LCM(48714,48722) = 2373443508 / 2
LCM(48714,48722) = 1186721754

Least Common Multiple (LCM) of 48714 and 48722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48714 and 48722. First we will calculate the prime factors of 48714 and 48722.

Prime Factorization of 48714

Prime Factorization of 48722

Now multiplying the highest exponent prime factors to calculate the LCM of 48714 and 48722.

LCM(48714,48722) = 2¹ × 3¹ × 23¹ × 353¹ × 17¹ × 1433¹
LCM(48714,48722) = 1186721754