What is the Least Common Multiple of 53754 and 53773?

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 53754 and 53773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53754 and 53773, than apply into the LCM equation.

GCF(53754,53773) = 1
LCM(53754,53773) = ( 53754 × 53773) / 1
LCM(53754,53773) = 2890513842 / 1
LCM(53754,53773) = 2890513842

Least Common Multiple (LCM) of 53754 and 53773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53754 and 53773. First we will calculate the prime factors of 53754 and 53773.

Prime Factorization of 53754

Prime Factorization of 53773

Now multiplying the highest exponent prime factors to calculate the LCM of 53754 and 53773.

LCM(53754,53773) = 2¹ × 3¹ × 17² × 31¹ × 53773¹
LCM(53754,53773) = 2890513842