What is the Least Common Multiple of 54670 and 54674?

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 54670 and 54674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54670 and 54674, than apply into the LCM equation.

GCF(54670,54674) = 2
LCM(54670,54674) = ( 54670 × 54674) / 2
LCM(54670,54674) = 2989027580 / 2
LCM(54670,54674) = 1494513790

Least Common Multiple (LCM) of 54670 and 54674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54670 and 54674. First we will calculate the prime factors of 54670 and 54674.

Prime Factorization of 54670

Prime Factorization of 54674

Now multiplying the highest exponent prime factors to calculate the LCM of 54670 and 54674.

LCM(54670,54674) = 2¹ × 5¹ × 7¹ × 11¹ × 71¹ × 27337¹
LCM(54670,54674) = 1494513790