What is the Least Common Multiple of 72013 and 72030?

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 72013 and 72030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72013 and 72030, than apply into the LCM equation.

GCF(72013,72030) = 1
LCM(72013,72030) = ( 72013 × 72030) / 1
LCM(72013,72030) = 5187096390 / 1
LCM(72013,72030) = 5187096390

Least Common Multiple (LCM) of 72013 and 72030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72013 and 72030. First we will calculate the prime factors of 72013 and 72030.

Prime Factorization of 72013

Prime Factorization of 72030

Now multiplying the highest exponent prime factors to calculate the LCM of 72013 and 72030.

LCM(72013,72030) = 23¹ × 31¹ × 101¹ × 2¹ × 3¹ × 5¹ × 7⁴
LCM(72013,72030) = 5187096390