What is the Least Common Multiple of 68424 and 68440?

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 68424 and 68440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68424 and 68440, than apply into the LCM equation.

GCF(68424,68440) = 8
LCM(68424,68440) = ( 68424 × 68440) / 8
LCM(68424,68440) = 4682938560 / 8
LCM(68424,68440) = 585367320

Least Common Multiple (LCM) of 68424 and 68440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68424 and 68440. First we will calculate the prime factors of 68424 and 68440.

Prime Factorization of 68424

Prime Factorization of 68440

Now multiplying the highest exponent prime factors to calculate the LCM of 68424 and 68440.

LCM(68424,68440) = 2³ × 3¹ × 2851¹ × 5¹ × 29¹ × 59¹
LCM(68424,68440) = 585367320