What is the Least Common Multiple of 22614 and 22619?

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 22614 and 22619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22614 and 22619, than apply into the LCM equation.

GCF(22614,22619) = 1
LCM(22614,22619) = ( 22614 × 22619) / 1
LCM(22614,22619) = 511506066 / 1
LCM(22614,22619) = 511506066

Least Common Multiple (LCM) of 22614 and 22619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22614 and 22619. First we will calculate the prime factors of 22614 and 22619.

Prime Factorization of 22614

Prime Factorization of 22619

Now multiplying the highest exponent prime factors to calculate the LCM of 22614 and 22619.

LCM(22614,22619) = 2¹ × 3¹ × 3769¹ × 22619¹
LCM(22614,22619) = 511506066