What is the Least Common Multiple of 74419 and 74436?

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 74419 and 74436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74419 and 74436, than apply into the LCM equation.

GCF(74419,74436) = 1
LCM(74419,74436) = ( 74419 × 74436) / 1
LCM(74419,74436) = 5539452684 / 1
LCM(74419,74436) = 5539452684

Least Common Multiple (LCM) of 74419 and 74436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74419 and 74436. First we will calculate the prime factors of 74419 and 74436.

Prime Factorization of 74419

Prime Factorization of 74436

Now multiplying the highest exponent prime factors to calculate the LCM of 74419 and 74436.

LCM(74419,74436) = 74419¹ × 2² × 3¹ × 6203¹
LCM(74419,74436) = 5539452684