What is the Least Common Multiple of 48930 and 48944?

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 48930 and 48944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48930 and 48944, than apply into the LCM equation.

GCF(48930,48944) = 14
LCM(48930,48944) = ( 48930 × 48944) / 14
LCM(48930,48944) = 2394829920 / 14
LCM(48930,48944) = 171059280

Least Common Multiple (LCM) of 48930 and 48944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48930 and 48944. First we will calculate the prime factors of 48930 and 48944.

Prime Factorization of 48930

Prime Factorization of 48944

Now multiplying the highest exponent prime factors to calculate the LCM of 48930 and 48944.

LCM(48930,48944) = 2⁴ × 3¹ × 5¹ × 7¹ × 233¹ × 19¹ × 23¹
LCM(48930,48944) = 171059280