What is the Least Common Multiple of 7290 and 7300?

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 7290 and 7300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7290 and 7300, than apply into the LCM equation.

GCF(7290,7300) = 10
LCM(7290,7300) = ( 7290 × 7300) / 10
LCM(7290,7300) = 53217000 / 10
LCM(7290,7300) = 5321700

Least Common Multiple (LCM) of 7290 and 7300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7290 and 7300. First we will calculate the prime factors of 7290 and 7300.

Prime Factorization of 7290

Prime Factorization of 7300

Now multiplying the highest exponent prime factors to calculate the LCM of 7290 and 7300.

LCM(7290,7300) = 2² × 3⁶ × 5² × 73¹
LCM(7290,7300) = 5321700