What is the Least Common Multiple of 27424 and 27435?

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 27424 and 27435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27424 and 27435, than apply into the LCM equation.

GCF(27424,27435) = 1
LCM(27424,27435) = ( 27424 × 27435) / 1
LCM(27424,27435) = 752377440 / 1
LCM(27424,27435) = 752377440

Least Common Multiple (LCM) of 27424 and 27435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27424 and 27435. First we will calculate the prime factors of 27424 and 27435.

Prime Factorization of 27424

Prime Factorization of 27435

Now multiplying the highest exponent prime factors to calculate the LCM of 27424 and 27435.

LCM(27424,27435) = 2⁵ × 857¹ × 3¹ × 5¹ × 31¹ × 59¹
LCM(27424,27435) = 752377440