What is the Least Common Multiple of 68440 and 68451?

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 68440 and 68451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68440 and 68451, than apply into the LCM equation.

GCF(68440,68451) = 1
LCM(68440,68451) = ( 68440 × 68451) / 1
LCM(68440,68451) = 4684786440 / 1
LCM(68440,68451) = 4684786440

Least Common Multiple (LCM) of 68440 and 68451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68440 and 68451. First we will calculate the prime factors of 68440 and 68451.

Prime Factorization of 68440

Prime Factorization of 68451

Now multiplying the highest exponent prime factors to calculate the LCM of 68440 and 68451.

LCM(68440,68451) = 2³ × 5¹ × 29¹ × 59¹ × 3¹ × 22817¹
LCM(68440,68451) = 4684786440