What is the Least Common Multiple of 72446 and 72458?

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 72446 and 72458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72446 and 72458, than apply into the LCM equation.

GCF(72446,72458) = 2
LCM(72446,72458) = ( 72446 × 72458) / 2
LCM(72446,72458) = 5249292268 / 2
LCM(72446,72458) = 2624646134

Least Common Multiple (LCM) of 72446 and 72458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72446 and 72458. First we will calculate the prime factors of 72446 and 72458.

Prime Factorization of 72446

Prime Factorization of 72458

Now multiplying the highest exponent prime factors to calculate the LCM of 72446 and 72458.

LCM(72446,72458) = 2¹ × 11¹ × 37¹ × 89¹ × 36229¹
LCM(72446,72458) = 2624646134