What is the Least Common Multiple of 26619 and 26624?

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 26619 and 26624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26619 and 26624, than apply into the LCM equation.

GCF(26619,26624) = 1
LCM(26619,26624) = ( 26619 × 26624) / 1
LCM(26619,26624) = 708704256 / 1
LCM(26619,26624) = 708704256

Least Common Multiple (LCM) of 26619 and 26624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26619 and 26624. First we will calculate the prime factors of 26619 and 26624.

Prime Factorization of 26619

Prime Factorization of 26624

Now multiplying the highest exponent prime factors to calculate the LCM of 26619 and 26624.

LCM(26619,26624) = 3¹ × 19¹ × 467¹ × 2¹¹ × 13¹
LCM(26619,26624) = 708704256