What is the Least Common Multiple of 54678 and 54697?

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 54678 and 54697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54678 and 54697, than apply into the LCM equation.

GCF(54678,54697) = 1
LCM(54678,54697) = ( 54678 × 54697) / 1
LCM(54678,54697) = 2990722566 / 1
LCM(54678,54697) = 2990722566

Least Common Multiple (LCM) of 54678 and 54697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54678 and 54697. First we will calculate the prime factors of 54678 and 54697.

Prime Factorization of 54678

Prime Factorization of 54697

Now multiplying the highest exponent prime factors to calculate the LCM of 54678 and 54697.

LCM(54678,54697) = 2¹ × 3¹ × 13¹ × 701¹ × 83¹ × 659¹
LCM(54678,54697) = 2990722566