What is the Least Common Multiple of 53766 and 53783?

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 53766 and 53783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53766 and 53783, than apply into the LCM equation.

GCF(53766,53783) = 1
LCM(53766,53783) = ( 53766 × 53783) / 1
LCM(53766,53783) = 2891696778 / 1
LCM(53766,53783) = 2891696778

Least Common Multiple (LCM) of 53766 and 53783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53766 and 53783. First we will calculate the prime factors of 53766 and 53783.

Prime Factorization of 53766

Prime Factorization of 53783

Now multiplying the highest exponent prime factors to calculate the LCM of 53766 and 53783.

LCM(53766,53783) = 2¹ × 3² × 29¹ × 103¹ × 53783¹
LCM(53766,53783) = 2891696778