What is the Least Common Multiple of 54419 and 54436?

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 54419 and 54436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54419 and 54436, than apply into the LCM equation.

GCF(54419,54436) = 1
LCM(54419,54436) = ( 54419 × 54436) / 1
LCM(54419,54436) = 2962352684 / 1
LCM(54419,54436) = 2962352684

Least Common Multiple (LCM) of 54419 and 54436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54419 and 54436. First we will calculate the prime factors of 54419 and 54436.

Prime Factorization of 54419

Prime Factorization of 54436

Now multiplying the highest exponent prime factors to calculate the LCM of 54419 and 54436.

LCM(54419,54436) = 54419¹ × 2² × 31¹ × 439¹
LCM(54419,54436) = 2962352684