What is the Least Common Multiple of 73130 and 73135?

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 73130 and 73135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73130 and 73135, than apply into the LCM equation.

GCF(73130,73135) = 5
LCM(73130,73135) = ( 73130 × 73135) / 5
LCM(73130,73135) = 5348362550 / 5
LCM(73130,73135) = 1069672510

Least Common Multiple (LCM) of 73130 and 73135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73130 and 73135. First we will calculate the prime factors of 73130 and 73135.

Prime Factorization of 73130

Prime Factorization of 73135

Now multiplying the highest exponent prime factors to calculate the LCM of 73130 and 73135.

LCM(73130,73135) = 2¹ × 5¹ × 71¹ × 103¹ × 14627¹
LCM(73130,73135) = 1069672510