What is the Least Common Multiple of 72419 and 72431?

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 72419 and 72431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72419 and 72431, than apply into the LCM equation.

GCF(72419,72431) = 1
LCM(72419,72431) = ( 72419 × 72431) / 1
LCM(72419,72431) = 5245380589 / 1
LCM(72419,72431) = 5245380589

Least Common Multiple (LCM) of 72419 and 72431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72419 and 72431. First we will calculate the prime factors of 72419 and 72431.

Prime Factorization of 72419

Prime Factorization of 72431

Now multiplying the highest exponent prime factors to calculate the LCM of 72419 and 72431.

LCM(72419,72431) = 139¹ × 521¹ × 72431¹
LCM(72419,72431) = 5245380589