What is the Least Common Multiple of 48045 and 48050?

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 48045 and 48050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48045 and 48050, than apply into the LCM equation.

GCF(48045,48050) = 5
LCM(48045,48050) = ( 48045 × 48050) / 5
LCM(48045,48050) = 2308562250 / 5
LCM(48045,48050) = 461712450

Least Common Multiple (LCM) of 48045 and 48050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48045 and 48050. First we will calculate the prime factors of 48045 and 48050.

Prime Factorization of 48045

Prime Factorization of 48050

Now multiplying the highest exponent prime factors to calculate the LCM of 48045 and 48050.

LCM(48045,48050) = 3¹ × 5² × 3203¹ × 2¹ × 31²
LCM(48045,48050) = 461712450