What is the Least Common Multiple of 53754 and 53770?

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 53770 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 53770, than apply into the LCM equation.

GCF(53754,53770) = 2
LCM(53754,53770) = ( 53754 × 53770) / 2
LCM(53754,53770) = 2890352580 / 2
LCM(53754,53770) = 1445176290

Least Common Multiple (LCM) of 53754 and 53770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53754 and 53770. First we will calculate the prime factors of 53754 and 53770.

Prime Factorization of 53754

Prime Factorization of 53770

Now multiplying the highest exponent prime factors to calculate the LCM of 53754 and 53770.

LCM(53754,53770) = 2¹ × 3¹ × 17² × 31¹ × 5¹ × 19¹ × 283¹
LCM(53754,53770) = 1445176290