What is the Least Common Multiple of 7045 and 7050?

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 7045 and 7050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7045 and 7050, than apply into the LCM equation.

GCF(7045,7050) = 5
LCM(7045,7050) = ( 7045 × 7050) / 5
LCM(7045,7050) = 49667250 / 5
LCM(7045,7050) = 9933450

Least Common Multiple (LCM) of 7045 and 7050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7045 and 7050. First we will calculate the prime factors of 7045 and 7050.

Prime Factorization of 7045

Prime Factorization of 7050

Now multiplying the highest exponent prime factors to calculate the LCM of 7045 and 7050.

LCM(7045,7050) = 5² × 1409¹ × 2¹ × 3¹ × 47¹
LCM(7045,7050) = 9933450