What is the Least Common Multiple of 48365 and 48370?

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 48365 and 48370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48365 and 48370, than apply into the LCM equation.

GCF(48365,48370) = 5
LCM(48365,48370) = ( 48365 × 48370) / 5
LCM(48365,48370) = 2339415050 / 5
LCM(48365,48370) = 467883010

Least Common Multiple (LCM) of 48365 and 48370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48365 and 48370. First we will calculate the prime factors of 48365 and 48370.

Prime Factorization of 48365

Prime Factorization of 48370

Now multiplying the highest exponent prime factors to calculate the LCM of 48365 and 48370.

LCM(48365,48370) = 5¹ × 17¹ × 569¹ × 2¹ × 7¹ × 691¹
LCM(48365,48370) = 467883010