What is the Least Common Multiple of 30045 and 30050?

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 30045 and 30050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30045 and 30050, than apply into the LCM equation.

GCF(30045,30050) = 5
LCM(30045,30050) = ( 30045 × 30050) / 5
LCM(30045,30050) = 902852250 / 5
LCM(30045,30050) = 180570450

Least Common Multiple (LCM) of 30045 and 30050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30045 and 30050. First we will calculate the prime factors of 30045 and 30050.

Prime Factorization of 30045

Prime Factorization of 30050

Now multiplying the highest exponent prime factors to calculate the LCM of 30045 and 30050.

LCM(30045,30050) = 3¹ × 5² × 2003¹ × 2¹ × 601¹
LCM(30045,30050) = 180570450