What is the Least Common Multiple of 72111 and 72121?

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 72111 and 72121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72111 and 72121, than apply into the LCM equation.

GCF(72111,72121) = 1
LCM(72111,72121) = ( 72111 × 72121) / 1
LCM(72111,72121) = 5200717431 / 1
LCM(72111,72121) = 5200717431

Least Common Multiple (LCM) of 72111 and 72121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72111 and 72121. First we will calculate the prime factors of 72111 and 72121.

Prime Factorization of 72111

Prime Factorization of 72121

Now multiplying the highest exponent prime factors to calculate the LCM of 72111 and 72121.

LCM(72111,72121) = 3¹ × 13¹ × 43² × 7¹ × 10303¹
LCM(72111,72121) = 5200717431