What is the Least Common Multiple of 53654 and 53673?

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 53654 and 53673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53654 and 53673, than apply into the LCM equation.

GCF(53654,53673) = 1
LCM(53654,53673) = ( 53654 × 53673) / 1
LCM(53654,53673) = 2879771142 / 1
LCM(53654,53673) = 2879771142

Least Common Multiple (LCM) of 53654 and 53673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53654 and 53673. First we will calculate the prime factors of 53654 and 53673.

Prime Factorization of 53654

Prime Factorization of 53673

Now multiplying the highest exponent prime factors to calculate the LCM of 53654 and 53673.

LCM(53654,53673) = 2¹ × 139¹ × 193¹ × 3¹ × 17891¹
LCM(53654,53673) = 2879771142