What is the Least Common Multiple of 21769 and 21783?

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 21769 and 21783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21769 and 21783, than apply into the LCM equation.

GCF(21769,21783) = 1
LCM(21769,21783) = ( 21769 × 21783) / 1
LCM(21769,21783) = 474194127 / 1
LCM(21769,21783) = 474194127

Least Common Multiple (LCM) of 21769 and 21783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21769 and 21783. First we will calculate the prime factors of 21769 and 21783.

Prime Factorization of 21769

Prime Factorization of 21783

Now multiplying the highest exponent prime factors to calculate the LCM of 21769 and 21783.

LCM(21769,21783) = 11¹ × 1979¹ × 3¹ × 53¹ × 137¹
LCM(21769,21783) = 474194127