What is the Least Common Multiple of 72130 and 72141?

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 72130 and 72141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72130 and 72141, than apply into the LCM equation.

GCF(72130,72141) = 1
LCM(72130,72141) = ( 72130 × 72141) / 1
LCM(72130,72141) = 5203530330 / 1
LCM(72130,72141) = 5203530330

Least Common Multiple (LCM) of 72130 and 72141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72130 and 72141. First we will calculate the prime factors of 72130 and 72141.

Prime Factorization of 72130

Prime Factorization of 72141

Now multiplying the highest exponent prime factors to calculate the LCM of 72130 and 72141.

LCM(72130,72141) = 2¹ × 5¹ × 7213¹ × 3¹ × 139¹ × 173¹
LCM(72130,72141) = 5203530330